81. MIT OpenCourseWare | Mathematics | 18.705 Commutative Algebra, Fall 2008 | Home In this course students will learn about Noetherian rings and modules, Hilbert basis theorem, CayleyHamilton theorem, integral dependence, http://ocw.mit.edu/courses/mathematics/18-705-commutative-algebra-fall-2008/

82. Zariski And Samuel: "Commutative Algebra" In 1958 Zariski and Samuel published the first volume their classic two volume text Commutative Algebra. It was recognised immediately for its importance. http://www.gap-system.org/~history/Extras/Zariski_Samuel.html

Zariski and Samuel: Commutative Algebra In 1958 Zariski and Samuel published the first volume their classic two volume text Commutative Algebra. It was recognised immediately for its importance. A reviewer of the first volume wrote:- The reader of "Commutative algebra" will receive a presentation of much of the research in this area over the last twenty years, a good deal of which was inspired by Krull 's classic work. In addition, he will receive a leisurely and thorough exposition of the subject matter, suitable not only for the expert, but for the student as well. The information contained on the title page of the first volume was as follows: Commutative Algebra by Oscar Zariski Professor of Mathematics, Harvard University and Pierre Samuel Professor of Mathematics, University of Clermont-Ferrand with the cooperation of I S Cohen D VAN NOSTRAND COMPANY, INC. PRINCETON, NEW JERSEY TORONTO, NEW YORK, LONDON We give below a version of the Preface to the first volume of Zariski and Samuel's book Commutative algebra which explains the background to the book as well as giving an indication of its contents: PREFACE G COURTELINE In the last twenty years commutative algebra has undergone an intensive development. However, to the best of our knowledge, no systematic account of this subject has been published in book form since the appearance in 1935 of the valuable

83. Commutative Algebra - Cambridge University Press For price and ordering options, inspection copy requests, and reading lists please select Europe, Middle East and Africa Americas Asia Australia and New Zealand http://www.cambridge.org/catalogue/catalogue.asp?ISBN=9780521271257

84. Commutative Algebra Authors/titles "new.AC" Submissions received from Wed 20 Oct 10 to Thu 21 Oct 10, announced Fri, 22 Oct 10 http://arxiv4.library.cornell.edu/list/math.AC/new

arXiv.org math math.AC Search or Article-id Help Advanced search All papers Titles Authors Abstracts Full text Help pages Commutative Algebra New submissions Submissions received from Wed 27 Oct 10 to Thu 28 Oct 10, announced Fri, 29 Oct 10 New submissions Replacements [ total of 3 entries: [ showing up to 2000 entries per page: fewer more New submissions for Fri, 29 Oct 10 arXiv:1010.5878 pdf ps other Title: Another definition of Euler class group of a Noetherian ring Authors: Manoj K Keshari Satya Mandal Comments: Rocky Mountain Journal of Mathematics (To appear) Subjects: Commutative Algebra (math.AC) We will give another definition of Euler class group of a Noetherian ring. arXiv:1010.5952 pdf ps other Title: On Certain Divisibility Property of Polynomials Authors: Luis F. Caceres Jose A Velez Marulanda Subjects: Commutative Algebra (math.AC) Replacements for Fri, 29 Oct 10 arXiv:0907.4422 (replaced) [ pdf ps other Title: Global sections of structure sheaves of Keigher rings Authors: Dima Trushin Comments: 7 pages, language mistakes were corrected, some references were added Subjects: Commutative Algebra (math.AC)

85. Commutative Algebra Authors/titles Recent Submissions Title Abelian varieties over finitely generated fields and the conjecture of Geyer and Jarden on torsion http://arxiv4.library.cornell.edu/list/math.AC/recent

arXiv.org math math.AC Search or Article-id Help Advanced search All papers Titles Authors Abstracts Full text Help pages Commutative Algebra Authors and titles for recent submissions Fri, 29 Oct 2010 Thu, 28 Oct 2010 Wed, 27 Oct 2010 Tue, 26 Oct 2010 ... Mon, 25 Oct 2010 [ total of 8 entries: [ showing up to 25 entries per page: fewer more Fri, 29 Oct 2010 arXiv:1010.5952 pdf ps other Title: On Certain Divisibility Property of Polynomials Authors: Luis F. Caceres Jose A Velez Marulanda Subjects: Commutative Algebra (math.AC) arXiv:1010.5878 pdf ps other Title: Another definition of Euler class group of a Noetherian ring Authors: Manoj K Keshari Satya Mandal Comments: Rocky Mountain Journal of Mathematics (To appear) Subjects: Commutative Algebra (math.AC) Thu, 28 Oct 2010 arXiv:1010.5768 pdf ps other Title: Authors: Takafumi Shibuta Comments: 17 pages Subjects: Commutative Algebra (math.AC) arXiv:1010.5704 pdf ps other Title: Type sequences of one-dimensional local analytically irreducible rings Authors: Valentina Barucci Comments: 10 pages Subjects: Commutative Algebra (math.AC) arXiv:1010.5615

86. Algebra 2 2007/2008 File Format PDF/Adobe Acrobat Quick View http://www.maths.nott.ac.uk/personal/ibf/als3/leno.pdf

87. Graduate Studies In Commutative Algebra And Algebraic Geometry Some time ago, a graduate student interested in commutative algebra and algebraic geometry asked me for input on what to read and how to choose a thesis advisor. http://www.math.uiuc.edu/~schenck/grad.html

Graduate Studies in Commutative Algebra and Algebraic Geometry Some time ago, a graduate student interested in commutative algebra and algebraic geometry asked me for input on what to read and how to choose a thesis advisor. For what they are worth, here are some thoughts on the subject. I. What to study Here are my top 5 books for a beginning graduate student interested in commutative algebra and algebraic geometry. Cox, Little, O'Shea : "Ideals, varieties, and algorithms". This is a Springer UTM, and is a nice introduction to the area; I taught an undergraduate class out of it last year. It is full of examples and an easy, fun read. Atiyah-Macdonald : "Commutative Algebra" A very approachable introduction to the important ideas of commutative algebra , and a good lead in to the book of Eisenbud (see below). Miranda : "Algebraic curves and Riemann surfaces" Probably the most comprehensive introduction to curves, it looks at the subject from all angles. Miranda notes in the introduction that the book grew out of a course he has taught 5 times; this shows in the smooth presentation. Griffiths : "Introduction to Algebraic Curves" A complex analytic introduction to algebraic curves, and one of my favorite elementary books. You need only a class in one complex variable (or read, say, Churchill and Brown); it is amazing how far one can go with elementary tools.

88. THIRTEEN OPEN QUESTIONS IN COMMUTATIVE ALGEBRA Speaker Mel File Format PDF/Adobe Acrobat Quick View http://www.math.lsa.umich.edu/~hochster/Lip.text.pdf

89. Lectures On Commutative Algebra File Format PDF/Adobe Acrobat Quick View http://www.math.iitb.ac.in/~srg/Lecnotes/AfsPuneLecNotes.pdf

90. ON COMMUTATIVE ALGEBRA AND CHARACTERISTIC-FREE REPRESENTATION File Format PDF/Adobe Acrobat Quick View http://www.mathnet.or.kr/mathnet/paper_file/brandeis/David/019.pdf

91. LOCAL COHOMOLOGY IN COMMUTATIVE ALGEBRA, HOMOTOPY THEORY, AND File Format PDF/Adobe Acrobat Quick View http://www.nd.edu/~wgd/Dvi/LocalCohomologyInCommutativeAlgebra.pdf

92. Springer Online Reference Works All subalgebras of a free anticommutative algebra are free. The most important varieties of anti-commutative algebras are Lie algebras, Mal tsev algebras http://eom.springer.de/a/a012580.htm

93. NCAlgebra Homepage: NonCommutative Algebra Software, Examples And Links To Other NCAlgebra is Software for doing NonCommutative Algebra on the computer, using Mathematica. Download software and see examples on this homepage. http://www.math.ucsd.edu/~ncalg/

last modified Jan For the impatient GET 2010 Alpha Version of NCAlgebra and NCGB Releases for Windows, Mac OSX, Linux, Solaris For the others Our Non Commutative Algebra Packages run under Mathematica Table of Contents Introduction NCAlgebra tutorial and basic commands NCGB and what it does NCAlgebra and NCGB download ... Complete NCAlgebra and NCGB Documentation in HTML or in PDF TROUBLE SHOOTING and FAQ about trouble Some Accomplishments Of NonCommutative Computer Algebra Systems Engineering ... postscript or PDF Links to other NCAlgebra sites Introduction Our NonCommutative Algebra Packages run under Mathematica To get them click NCAlgebra and NCGB download If you have any trouble getting our software, then send us email at ncalg@ucsd.edu NCAlgebra For an introduction to NCAlgebra see the short tutorial of some of the most basic commands in HTML or a Mma notebook or a brief Demo of NCAlgebra Mathematica Notebook (you need Mma to read it and you must load NCAlgebra to run it). Also the palette NCPalette for NCAlgebra contains the main NCAlgebra and NCGB commands, so is informative. The rather extensive NC DOCUMENT is available in Pdf NCGB Computes NonCommutative Groebner Bases and has extensive sorting and display features as well as algorithms for automatically discarding "redundant" polynomials, as well as "kludgy" methods for suggesting changes of variables (which work better than one would expect).

94. A Prime Ideal Principle In Commutative Algebra File Format PDF/Adobe Acrobat Quick View http://math.berkeley.edu/~mreyes/oka1.pdf

95. CDSAGENDA V.5 School On Commutative Algebra And Interactions With Algebraic Geom Jun 11, 2004 School on Commutative Algebra and Interactions with Algebraic Geometry and Combinatorics. Cosponsor(s) Research Project Commutative and http://cdsagenda5.ictp.trieste.it/full_display.php?ida=a0344

96. Research Group: Commutative Algebra Research Project Commutative Algebra On the regularity of local cohomology of bigraded algebras; (pdf document). Jürgen Herzog and Xinxian Zheng http://www.uni-due.de/~mat306/

Research Project: Commutative Algebra Members of the group: E-mail : mat300@uni-essen.de Tel. : +49 201 183-2422 Attila Wiebe E-mail : attila.wiebe@uni-essen.de Tel. : +49 201 183-4114 Xinxian Zheng E-mail : xinxian.zheng@uni-essen.de Tel. : +49 201 183-4114 Ahad Rahimi E-mail : ahad.rahimi@uni-essen.de Tel. : +49 201 183-4519 Ali Soleyman Jahan E-mail : ali.soleyman-jahan@studd.uni-duisburg-essen.de Tel. : +49 201 183-2512 Recent Preprints: Dorin Popescu The strong Lefschetz property and certain complete intersection extensions; (PS document) Dorin Popescu Monomial cycle basis on Koszul homology modules; (PS document) Dorin Popescu Criterions for shellable multicomplexes; (PS document) Finite filtrations of modules and shellable multicomplexes; (PS document) Ahad Rahimi On the regularity of local cohomology of bigraded algebras; (pdf document) Notes on the multiplicity conjecture; (pdf document) On the radical of a monomial ideal; (pdf document) The depth of powers of an ideal; (PS document) Cohen-Macaulay polymatroidal ideals;

97. Joint Mathematics Meetings, Program By AMS Special Session AMS Special Session on Local Commutative Algebra. Saturday January 8, 2011, 100 p.m.550 p.m.. AMS Special Session on Local Commutative Algebra http://www.mrlonline.org/meetings/national/jmm/2125_program_ss5.html

Joint Mathematics Meetings Program by AMS Special Session Current as of Friday, October 29, 2010 00:34:00 Program Deadlines Timetable meet@ams.org Joint Mathematics Meetings New Orleans, LA, January 6-9, 2011 (Thursday - Sunday) Meeting #1067 Associate secretaries: Steven H Weintraub , AMS steve.weintraub@lehigh.edu Gerard A Venema , MAA venema@calvin.edu Please note room assignments are subject to change right up until the meeting occurs. The program published here is continually updated and may be more current than the printed program. The following material has been posted without being proofread in order to provide you with the most current information. AMS Special Session on Local Commutative Algebra Saturday January 8, 2011, 1:00 p.m.-5:50 p.m. AMS Special Session on Local Commutative Algebra Napoleon D2, 3rd Floor, Sheraton Organizers: Paul C. Roberts , University of Utah Anurag K. Singh , University of Utah singh@math.utah.edu Sandra M. Spiroff , University of Mississippi 1:00 p.m. Relating Initial Degrees of Symbolic and Regular Powers. Susan Marie Cooper* , University of NebraskaLincoln Stephen G Hartke , University of NebraskaLincoln 1:30 p.m.

98. Computational Commutative Algebra And Combinatorics File Format PDF/Adobe Acrobat Quick View http://mathsoc.jp/publication/ASPM/matter/fm33.pdf

99. Haskell For Commutative Algebra Commutative algebra is the study of rings of (multivariate) polynomials over a field. For example, the ring Qx,y,z is the ring of polynomials in the http://www.polyomino.f2s.com/david/haskell/commalg.html

Haskell for Maths www.polyomino.f2s.com Home Code Articles Haskell ... Books Commutative Algebra Commutative algebra is the study of rings of (multivariate) polynomials over a field. For example, the ring Q[x,y,z] is the ring of polynomials in the variables x, y, and z, with coefficients in Q. The main thing that commutative algebra is used for is algebraic geometry - where we're interested in the relationship between an ideal (a set of polynomials) and the curve, surface, or in general, the variety which it defines (the set of zeros of the polynomials). For example, we know that the equation x^2+y^2=1 has the unit circle as its zero-set. The reason commutative algebra is so useful in algebraic geometry is that there is a kind of translation dictionary so that questions about varieties can be translated into questions about ideals, and vice versa. For example, if we want to look at the union of two varieties, we look at the intersection of the corresponding ideals. The relationship between commutative algebra and algebraic geometry is very natural. However, commutative algebra can also be used to study other areas of mathematics, such as combinatorics or topology. In these cases, the "translation dictionaries" are more like inventions than discoveries. The reason this is worth doing is that problems in combinatorics or topology can often become more tractable, or be dealt with more elegantly, when translated into commutative algebra. The core algorithm in computational commutative algebra is Buchberger algorithm. It allows us to find a "Groebner basis" for an ideal. This is a kind of canonical form, from which many of the properties that we are interested in can be more easily calculated.

100. MAT4200 - Commutative Algebra - University Of Oslo Introduction to commutative algebra. Noetherian rings and modules. Local algebra and primary decomposition. The course may also include subjects from http://www.uio.no/studier/emner/matnat/math/MAT4200/index-eng.xml

Jump to global navigation Jump to main contentt Jump to bottom navigation Jump to contact information ... University of Oslo Search in University of Oslo Search Norwegian For employees Home Research ... Norsk versjon MAT4200 - Commutative algebra Course content Learning outcomes Admission Prerequisites ... Contact us Facts about this course: Credits: Level: Advanced course at master's level Teaching semester: Every autumn semester Examination semester: Every autumn semester Language of instruction: English The course is given in English. If no students have asked for the course in English within the first lecture, it may be given in Norwegian. Administrated by: Department of Mathematics Detailed course information - Current and previous semesters: Autumn 2010 Autumn 2009 Autumn 2008 Autumn 2007 ... Autumn 2004 Course content Introduction to commutative algebra. Noetherian rings and modules. Local algebra and primary decomposition. The course may also include subjects from non-commutative algebra such as group and representation theory. Learning outcomes The course is a comprehensive introduction to algebra. It is meant to give students a foundation for further studies in algebra and algebraic geometry.

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