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         Commutative Algebra:     more books (100)
  1. Commutative Algebra. 2 Volumes. by Oscar Zariski, 1963
  2. Computational Aspects of Commutative Algebra: From a Special Issue of the Journal of Symbolic Computation
  3. Commutative Algebra and Algebraic Geometry (Lecture Notes in Pure and Applied Mathematics)
  4. Commutative Algebra: Geometric, Homological, Combinatorial and Computational Aspects (Lecture Notes in Pure and Applied Mathematics)
  5. Algebraic K-Theory, Commutative Algebra, and Algebraic Geometry: Proceedings of the U.S.-Italy Joint Seminar Held June 18-24, 1989 at Santa Margheri (Contemporary Mathematics) by R. Keith Dennis, Claudio Pedrini, 1992-01
  6. Commutative Algebra (Elements of Mathematics) by Nicolas Bourbaki, 1972-12
  7. Commutative Group Algebras (Pure and Applied Mathematics) by Gregory Karpilovsky, 1983-06-15
  8. Commutative Algebra
  9. Commutative Algebras of Toeplitz Operators on the Bergman Space (Operator Theory: Advances and Applications) by Nikolai L. Vasilevski, 2008-08-27
  10. Algebraic Geometry and Commutative Algebra: In Honor of Masayoshi Nagata by Hiroaki Hikikata, 1988-12
  11. Commutative Algebra (Lecture Notes in Pure and Applied Mathematics)
  12. Approximation Theorems in Commutative Algebra: Classical and Categorical Methods (Mathematics and its Applications) by J. Alajbegovic, J. Mockor, 1992-09-30
  13. Commutative Algebra (London Mathematical Society Lecture Note Series) by J. T. Knight, 1972-01-28
  14. Analytic Methods in Commutative Algebra (Lecture Notes in Pure and Applied Mathematics)

61. MSRI - Introductory Workshop In Commutative Algebra
MSRI, Berkeley, CA, USA; 913 September 2002.
http://www.msri.org/calendar/workshops/WorkshopInfo/196/show_workshop
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  • Home Scientific For Scientists Programs Workshops Workshops Home All Upcoming Workshops ... Workshops Search for Events By Title or Description: After: Before: Main Participants Wiki Discussions Introductory Workshop in Commutative Algebra September 9, 2002 to September 13, 2002 Luchezar Avramov, Mark Green, Craig Huneke, Karen E. Smith and Bernd Sturmfels Tags: Commutative algebra Commutative algebra The introductory workshop in the Comutative Algebra program will feature three lectures each from six speakers: David Benson, David Eisenbud, Mark Haiman, Melvin Hochster, Rob Lazarsfeld, and Bernard Teissier. The talks will cover aspects of the relationship of commutative algebra to group cohomology, combinatorics, and algebraic geometry, as well as covering major themes in commutative algebra today.
    The titles of the talks-series are:
      Loa Nowina-Sapinski Welcome and Introduction msrihall Melvin Hochster Tight closure msrihall Marsha Borg Morning Tea msrihall Dave Benson Commutative algebra and the cohomology of groups msrihall Melvin Hochster Tight closure, continued

62. First Steps In Brave New Commutative Algebra.
File Format PDF/Adobe Acrobat Quick View
http://www.math.uic.edu/~bshipley/greenlees.FirstStepsChicago.pdf

63. Commutative Algebra
Commutative Algebra Commutative algebra is a rapidly growing subject that is developing in many different directions. This volume presents several of the most recent results
http://www.springer.com/mathematics/algebra/book/978-1-4419-6989-7
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64. Macaulay
Macaulay is a computer algebra system for mathematical computations in algebraic geometry and commutative algebra. At its core is a carefully tuned implementation of Grobner basis methods for manipulating systems of polynomial equations.
http://www.math.columbia.edu/~bayer/Macaulay/index.html
Macaulay
A system for computation in algebraic geometry and commutative algebra
This page is www.math.columbia.edu/~bayer/Macaulay
Description
Macaulay is a computer algebra system for mathematical computations in algebraic geometry and commutative algebra. At its core is a carefully tuned implementation of Grobner basis methods for manipulating systems of polynomial equations. Macaulay's user base consists largely of academic researchers and graduate students. It consists of roughly 30,000 lines of C code, documentation, and contributed scripts in Macaulay's command language (which has been dubbed affectionately by some users as "algebraic machine language").
Authors
Dave Bayer
Department of Mathematics
Barnard College
Columbia University
2990 Broadway MC 4417
New York, NY 10027-6902
Mike Stillman
Department of Mathematics
Cornell University
Ithaca, NY 14853-4201
Wait!!
It's 2003. That 70's haircut really has to go. While you're at it, are you sure you want this program? It warms our hearts every time we hear of a diehard Macaulay enthusiast, but even Dave has switched to

65. Approximate Commutative Algebra
Approximate Commutative Algebra is an emerging field of research which endeavours to bridge the gap between traditional exact Computational Commutative
http://www.springer.com/mathematics/algebra/book/978-3-211-99313-2
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66. Courses
Commutative algebra ps file (381K) Commutative algebra - pdf file (202K) This course is an introduction to modules over rings, Noetherian modules, unique factorization
http://www.maths.nott.ac.uk/personal/ibf/courses.html
Lecture Notes of Courses (.ps and .pdf files)
  • Introduction to number theory - ps file (495K)
  • Introduction to number theory - pdf file (242K) This is a first course in number theory. It includes p-adic numbers.
  • Commutative algebra - ps file (381K)
  • Commutative algebra - pdf file (202K) This course is an introduction to modules over rings, Noetherian modules, unique factorization domains and polynomial rings over them, modules over principal ideal domains, localization.
  • Introduction to algebraic number theory - ps file (432K)
  • Introduction to algebraic number theory - pdf file (193K) This course (40 hours) is a relatively elementary course which requires minimal prerequisites from Commutative Algebra (see above) for its understanding. Following an algebraic prerequisited review part, integral structures, Dedekind rings, splitting of maximal ideals in field extensions, finiteness of the ideal class group and Dirichlet's theorem on units are treated next, p-adic numbers and class field theory for the field of rational numbers are introduced in the last part of the course.
  • Homological algebra - ps file (479K)
  • Homological algebra - pdf file (228K) This is a very short introduction to homological algebra This course (25 hours) presents categories, functors, chain complexes, homologies, free, projective and injective obejcts in the category of modules over a ring, projective and injective resolutions, derived functors, Tor and Ext, cohomologies of modules over a finite group, restriction and corestriction.

    • 67. Abdul Jarrah' Home Page
    Virginia Bioinformatics Institute. Discrete mathematics, computational commutative algebra, computational systems biology, finite dynamical systems.
    http://staff.vbi.vt.edu/ajarrah/
    Abdul Salam Jarrah
    Home Publications Teaching Useful Links ... Events Senior Research Associate
    Virginia Bioinformatics Institute
    Assistant Professor, Affiliate
    Department of Mathematics
    Virginia Tech
    Blacksburg, VA 24061 Tel: 540-231-9456
    Fax: 540-231-2606
    ajarrah@vbi.vt.edu
    Professional Preparation:
    • Ph.D., Mathematics, New Mexico State University, 2002. M.S., Mathematics, Yarmouk University, Jordan, 1995. B.S., Mathematics and Computer Science, Yarmouk University, Jordan, 1992.
    Current Research Interests:
    • Computational Algebra, Finite Dynamical Systems, Computational Systems Biology, Computational Immunology, Reverse Engineering Gene Regulatory Networks, Mathematical Modeling and Simulation, The interplay between the structure of a network and its dynamics.
    My research interests are rooted in computational systems biology. To be precise, I am interested in developing, implementing, and using mathematical methods for the modeling and simulation of biological systems. Inferring gene regulatory networks from high throughput data and modeling different aspect of the immune system are at the heart of my current research projects. Using methods from computational algebra and finite dynamical systems, we are developing algorithms for the inference of gene regulatory networks as discrete-time, finite-space dynamical systems which include Boolean networks. Understanding the interplay between the dynamics

    68. 13: Commutative Rings And Algebras
    A commutative algebra is a commutative ring which contains a field (usually as a subring over which the entire ring is finitelygenerated). Examples include coordinate rings of
    http://www.math.niu.edu/~rusin/known-math/index/13-XX.html
    Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields
    POINTERS: Texts Software Web links Selected topics here
    13: Commutative rings and algebras
    Introduction
    Commutative rings and algebras are sets like the set of integers, allowing addition and (commutative) multiplication. Of particular interest are several classes of rings of interest in number theory, field theory, algebraic geometry, and related areas; however, other classes of rings arise, and a rich structure theory arises to analyze commutative rings in general, using the concepts of ideals, localizations, and homological algebra. A commutative ring is a set endowed with two binary operations "+" and "*" subject to familiar associative, commutative, and distributive laws. (It is usually but not universally assumed that the rings contain an identity element "1" for multiplication.) Examples include the rings of integers in algebraic number fields; here, the interest is number-theoretic: common questions concern factorization and the class group, the action of the Galois group, and the structure of the group of units. A commutative algebra is a commutative ring which contains a field (usually as a subring over which the entire ring is finitely-generated). Examples include coordinate rings of algebraic varieties, that is, quotients of polynomial rings over a field; here, the interest is geometric: how are the local rings different at singular points, and how do subvarieties intersect? In some sense the theory of commutative rings and algebras can be seen as the search for common features of these two classes of examples, and the effort to explain features of a general commutative ring as being like these two types. We can clarify these fields of inquiry by reviewing the subfields of section 13.

    69. Brian_Harbourne
    University of NebraskaLincoln. Algebraic Geometry and Commutative Algebra resolutions of homogeneous ideals defining fat point subschemes of P2. Publications, TeX resources.
    http://www.math.unl.edu/~bharbourne1/

    70. MSRI - Commutative Algebra
    Commutative Algebra August 20, 2012 to May 24, 2013 Mathematical Sciences Research Institute, Berkeley, CA. Organized By David Eisenbud* (University of California, Berkeley
    http://www.msri.org/calendar/calendar/programs/ProgramInfo/267/show_program
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    • Home Scientific For Scientists Programs Programs Home Current Programs Upcoming Programs ... Calendar for Scientists Search for Events By Title or Description: After: Before: MSRI Home Scientific Programs Programs Home Main Wiki Discussions Commutative Algebra 2012-08-20 to 2013-05-24 David Eisenbud* (University of California, Berkeley), Srikanth Iyengar (University of Nebraska), Ezra Miller (Duke University), Anurag Singh (University of Utah), and Karen Smith (University of Michigan) Tags: scientific Commutative algebra was born in the 19th century from algebraic geometry, invariant theory, and number theory. Today it is a mature field with activity on many fronts, and important links to other areas such as algebraic topology, combinatorics, mathematical physics, noncommutative geometry, representation theory, singularity theory, and statistics. The program will reflect the wealth of interconnections suggested by these fields, and will introduce young researchers to these diverse areas.
      One of the thrusts of the year-long program will be to foster new connections in addition to strengthening existing ones. The program will also highlight exciting recent developments in commutative algebra on syzygies and free resolutions, homological and representation theoretic aspects, tight closure and singularities, and birational geometry.

    71. Conference On Interactions Between Representation Theory And Commutative Algebra
    The meeting will focus on the deep connections between the representation theory of finite dimensional algebras and the module theory of commutative rings.
    http://www.crm.cat/irtaca/
    Interactions between representation theory and commutative algebra Group Pictures List of Participants List of Participants with their lodging arranged through the CRM Programme There will be talks from Thursday morning until Saturday noon, with the option to accommodate some additional contributions by participants. Dates: September 25 to 27, 2008 Place: Institut de Matemàtica (IMUB) (Barcelona) Scientific Committee: Lidia Angeleri-Hügel , Università dell'Insubria Dolors Herbera , Universitat Autònoma de Barcelona Henning Krause , Universität Paderborn Speakers: Luchezar Avramov University of Nebraska Silvana Bazzoni Università degli Studi di Padova Alberto Facchini Università degli Studi di Padova Srikanth Iyengar University of Nebraska Helmut Lenzing Universität Paderborn Graham Leuschke Syracuse University Rosa Maria Miró-Roig Universitat de Barcelona Osamu Iyama Nagoya University Idun Reiten Norges Teknisk-Naturvitenskapelige Universitet Wolfgang Rump Universität Stuttgart Roger Wiegand University of Nebraska Aim: The meeting will focus on the deep connections between the representation theory of finite dimensional algebras and the module theory of commutative rings. Both subjects have been shaped by the work of Maurice Auslander and the interactions have been a fruitful source of inspiration since then.

    72. 13P: Computational Aspects Of Commutative Algebra
    Introduction Perhaps the title makes it clear what this section is! For now this page is largely a placeholder; more information is on the parent page for commutative algebra.
    http://www.math.niu.edu/~rusin/known-math/index/13PXX.html
    Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields
    POINTERS: Texts Software Web links Selected topics here
    13P: Computational aspects of commutative algebra
    Introduction
    Perhaps the title makes it clear what this section is! For now this page is largely a placeholder; more information is on the parent page for commutative algebra
    History
    Applications and related fields
    The computational tools described on this page are used in other areas, particularly algebraic geometry and its subfields (e.g. one can compute the envelope of a curve ). Roughly speaking we have included here the comments which are best exemplified with varieties of dimension zero (finite sets of points) and in section 14 the comments which involve more geometry than computation. Computation in polynomial rings overlaps 12F: Field extensions (Galois theory). In particular, look there for computational questions involving the factorization of univariate polynomials. There have been a number of applications to topics in robotics and the motions of linked systems See Also 68W30
    Subfields
    • Polynomials, factorization, See also 12Y05

    73. Conference Listings :: Commalg.org :: The Commutative Algebra Community
    the commutative algebra community Recent News. Macaulay2 Workshop in Germany, Feb 2011; Azumaya and Hochschild; algebra on TV
    http://www.commalg.org/category/confs/
    You are currently browsing the Conference Listings archives.
    Recent News
    Upcoming Conferences
    Recent Conferences

    74. CA --- J.S. Milne
    These notes prove the basic theorems in commutative algebra required for algebraic geometry and algebraic groups. They assume only a knowledge of the
    http://www.jmilne.org/math/xnotes/ca.html
    A Primer of Commutative Algebra - J.S. Milne Top Expository Notes
    A Primer of Commutative Algebra
    Motives-Grothendieck's Dream     ... pdf (current version 2.21, April 27, 2010).
    Abstract
    These notes prove the basic theorems in commutative algebra required for algebraic geometry and algebraic groups. They assume only a knowledge of the algebra usually taught in advanced undergraduate or first-year graduate courses. However, they are quite concise.
    Contents
    Rings and algebras; ideals; noetherian rings; unique factorization; integrality; rings of fractions; direct limits; tensor products; flatness; finitely generated projective modules; the Hilbert Nullstellsatz; the max spectrum of a ring; dimension theory for finitely generated k -algebras; primary decompositions; artinian rings; dimension theory for noetherian rings; regular local rings; connections with geometry.
    History
    v1.00 (January 1, 2009). First version on the web. 51 pages. pdf (old version 1.00).
    v2.00 (April 5, 2009). Revised and completed. 64 pages. pdf (old version 2.00).

    75. Commutative Algebra And Combinatorics
    File Format PDF/Adobe Acrobat Quick View
    http://www.intlpress.com/books/RMSLNS/preview/9781571461896.pdf

    76. Commutative Algebra & Algebraic
    We will be at the Special Session on Commutative Algebra and Applications to Algebraic Geometry at the AMS meeting in University Park, PA.
    http://websupport1.citytech.cuny.edu/faculty/lghezzi/seminar.html
    FALL 2010 The seminar will be on Fridays 4-5 PM at the CUNY Graduate Center in room 6417. The CUNY Graduate Center is located in 365 Fifth Avenue, New York, NY 10016.
    Organizers: Samar Elhitti , New York City College of Technology (CUNY), selhitti@citytech.cuny.edu Laura Ghezzi , New York City College of Technology (CUNY), lghezzi@citytech.cuny.edu Jooyoun Hong , Southern Connecticut State University, hongj2@southernct.edu Hans Schoutens , New York City College of Technology and the Graduate Center (CUNY), hschoutens@citytech.cuny.edu Janet Striuli , Fairfield University, jstriuli@mail.fairfield.edu Friday, September 24 Speaker: Hans Schoutens , New York City College of Technology and the Graduate Center, CUNY. Title: Homological conjectures in mixed characteristic: asymptotic versions. Abstract:
    I will then argue that this asymptotic approach also holds for many of the homological conjectures, by a higher dimensional version of the Ax-Kochen principle. I will use the New Improved Intersection Theorem as an example, and show that if the asymptotic growth rate is sufficiently slow, then we can even prove the full conjecture. SPECIAL SEMINAR: Monday, September 27 @ 5:30 PM in room 4102

    77. Commutative Algebra
    This page deals with the area of study. For algebras which are commutative, see algebra (disambiguation).
    http://english.turkcebilgi.com/Commutative algebra
    EnglishInfo
    Search
    commutative algebra
    Information about commutative algebra
    Double click any English word, to find Turkish meaning This page deals with the area of study. For algebras which are commutative, see algebra (disambiguation)
    In abstract algebra commutative algebra studies commutative rings , their ideals , and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra. Prominent examples of commutative rings include polynomial rings , rings of algebraic integers , including the ordinary integers Z , and p-adic integer s.
    Commutative algebra is the main technical tool in the local study of schemes
    The study of rings which are not necessarily commutative is known as noncommutative algebra ; it includes ring theory representation theory , and the theory of Banach algebras
    History
    The subject, first known as ideal theory , began with Richard Dedekind 's work on ideal s, itself based on the earlier work of

    78. Combinatorial Commutative Algebra
    File Format PDF/Adobe Acrobat Quick View
    http://www.math.duke.edu/~ezra/CCA/ttl-pref-toc.pdf

    79. Commutative Algebra Seminar
    Commutative Algebra Seminar. University of Utah, Department of Mathematics The seminar meets Fridays, 200–300 PM, in LCB 222 unless otherwise noted.
    http://www.lemiller.net/seminar.html
      Commutative Algebra Seminar
      University of Utah, Department of Mathematics
      LCB 222 unless otherwise noted.
      Date: Wednesday 8/18/2011
      Mordechai Katzman (University of Sheffield) Title: Effective computation of ideals compatible with a Frobenius near splitting
      Abstract: A Frobenius near splitting of a commutative ring R of prime characteristic p is an additive map f : R -> R with the property that f(r^p a) = r f(a). Given a near splitting f, we call an ideal I f-compatible if f(I) is contained in I.
      In this talk I show a method for producing all prime compatible ideal recently discovered by Karl Schwede and myself. If time permits, I will futher discuss a generalization of this method and its applications.
      Date: Friday 8/27/2011
      Lance Miller (University of Utah) Title: The p-typical Witt Vectors
      Abstract: The finite unramified extensions of Q_p (in a fixed algebraic closure) are in one-to-one correspondence with the finite fields of characteristic p. In this talk I will describe a functorial construction, due to Witt, which turns finite fields of characteristic p into unramified extensions of Q_p. This talk will be an expository preparation for the next seminar and will be accessible for graduate students who have taken abstract algebra.
      Date: Friday 9/3/2011
      Lance Miller (University of Utah) Title: Witt-Burnside rings attached to pro-p groups
      Abstract: The classical Witt vectors are a functorial construction which takes perfect fields of characteristic p to p-adically complete domains of characteristic 0. This functor was generalized by Dress and Siebeneicher to a family of functors parameterized by profinite groups. Witt's original functor corresponds to the p-adic integers as an additive pro-p group. In this talk, I will explore some examples of these functors corresponding to other pro-p groups taken over fields of characterisitc p. We will see some properties that are surprising when compared to the classical case.

    80. Commutative Algebra Information, Commutative Algebra Reference Articles - FindTa
    Information and research on commutative algebra on FindTarget Reference online encyclopedia. Find articles and information resources on commutative algebra.
    http://reference.findtarget.com/search/commutative algebra/
    reference
    Home Shopping Articles Local ... Reference Search for
    commutative algebra
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    Commutative algebra is the branch of abstract algebra that studies commutative ring s, their

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