21. Commutative Algebra Conference honoring the contributions of Phillip Griffith September 16 18, 2005 Supported by NSA; University of Illinois Dept. of Mathematics http://www.math.utah.edu/~spiroff/philfest.html

honoring the contributions of Phillip Griffith September 16 - 18, 2005 Supported by: NSA University of Illinois Dept. of Mathematics University of South Carolina Please direct questions to: Sandra Spiroff Organizers: Andy Kustin Matt Miller Anurag Singh Sandra Spiroff The organizers wish to thank everyone who participated in the conference. It would not have been such enjoyable event without the cooperation of everyone involved. (Check out , and from the conference.) Many congratulations to Phil Griffith on his impressive career and best wishes for the future! The purpose of this conference, which is open to those working in Commutative Algebra, is to bring together young and established researchers in the field to explore and exchange ideas. The program is centered around the contributions and influence of Phillip Griffith. The weekend will consist of talks varying from 20-60 minutes in length.

22. Math 252: Commutative Algebra And Algebraic Geometry This is a basic, introductory course in commutative algebra.......Math 252 Commutative Algebra and Algebraic Geometry (Spring 2002) Instructor Andreas Rosenchon. http://www.math.duke.edu/graduate/courses/spring02/math252.html

Math 252: Commutative Algebra and Algebraic Geometry (Spring 2002) Instructor Andreas Rosenchon Description This is a basic, introductory course in commutative algebra. Commutative algebra forms the foundation on which Algebraic Geometry and Algebraic Number Theory are built. As there is much more basic commutative algebra than can be covered in a one semester course, some selection of topics is necessary. Since Math 252 is a prerequisite for the Math 273 (Algebraic Geometry), but not for the Algebraic Number Theory course, there will be a strong bias towards classical algebraic geometry and away from number theory. A list of notions from algebraic geometry which will be covered is included below. We will restrict attention to algebraic varieties over algebraically closed fields. Mostly we will work with the category of affine varieties, although projective varieties will be touched upon. Geometric topics The Zariski topology on affine space, affine varieties, Noetherian topological spaces, Krull dimension, irreduciblity, polynomial maps between affine varieties, closed embeddings, dominant maps, product varieties, principal open subsets, affine algebraic groups, tori, affine toric varieties, the tangent space, finite maps, closed maps, quotients by finite group actions, constructible sets, images of polynomial maps, bounds on dimensions of intersections, the singular locus, open maps, flat maps, dimensions of fibers of polynomial maps, projective varieties, Hilbert functions, Bezout's theorem for intersection with a projective hypersurface, tangent cones, foundations of the theory of divisors on a smooth complex analytic space or variety (divisors will only be introduced in the algebraic geometry course; we just do the commutative algebra needed to get the theory going).

23. Annetta Aramova University of Essen. Commutative Algebra. http://www.uni-essen.de/~mat306/ani/

24. 18.705 Home Page 18.705 (fall 2010) COMMUTATIVE ALGEBRA. Please see the course syllabus for important additional information about the assignments. Web pages http//web.mit.edu/18.705/www or http://web.mit.edu/18.705/www/

18.705 (fall 2010): COMMUTATIVE ALGEBRA Please see the course syllabus for important additional information about the assignments. Web pages: http://web.mit.edu/18.705/www or http://math.mit.edu/18.705. Lectures: TR 11:00-12:30, Room 2-151. Lecturer: Steven L. KLEIMAN, Kleiman@math.MIT.edu Lecturer's office hours: T 1:00-2:30 and R 9:00-11:00, 1:00-3:00 and by appointment. TA: Antoni RANGACHEV toniran@math.MIT.edu TA's office hours: MW afternoons 4:00-5:00 in 2-130 and by appointment. Prerequisites: 18.701-18.702 or equivalent. Text: Lecture notes, written in collaboration with Allen Altman, available via the course syllabus References Michael ARTIN, "Algebra," Prentice Hall, 1991. Michael ATIYAH and Ian MACDONALD, "Introduction to commutative algebra," Addison-Wesley, 1969. David EISENBUD, "Commutative algebra," GTM 150, Springer-Verlag, 1994. Serge LANG, "Algebra,'' GTM 211, Springer-Verlag, 2002. Saunders MAC LANE, "Categories for the working Mathematician," GTM 5, Springer-Verlag, 1971. Miles REID, "Undergraduate commutative algebra," Cambridge University Press, LMS Student Texts 29, 1995. Grading: Based 70% on the weekly problem sets and 30% on the 45-minute oral final.

25. Commutative Algebraists :: Commalg.org :: The Commutative Algebra Community List of email and web addresses at the Center for Commutative Algebra. http://www.commalg.org/people/

Commutative Algebraists home about contact people ... misc Welcome to our list of commutative algebraists! We've made some changes in our presentation of the list. You now have many more options to choose from. We hope it's useful to you! NEW! Here's a map of all the people in our database. The latitude and longitude are approximate, but it gives a good idea of where we all are. Click on a marker to see more information. As before, you can click on a letter to jump to the commutative algebraists whose last name begins with that letter. Happy clicking! A B C D ... Z You can also view the whole list of commutative algebraists Finally, you can search our database. Happy searching! First Name: Last Name: Institution: Country: Anywhere: Meta Log in Valid XHTML WordPress Syndicate Navigate about contact people conference calendar ... misc 16 queries. 0.343 seconds. partly supported by NSF grants DMS-0556181 and DMS-0902119

26. Trends In Commutative Algebra - Cambridge University Press Trends in Commutative Algebra Series Mathematical Sciences Research Institute Publications (No. 51) Edited by Luchezar L. Avramov University of Nebraska, Lincoln http://www.cambridge.org/catalogue/catalogue.asp?isbn=9780521831956

27. Commutative Algebra Seminar, University Of Nebraska-Lincoln Commutative Algebra Seminar at the University of NebraskaLincoln Seminars 9th and 10th November (Tuesday and Wednesday) Emily Witt (University of Michigan, Ann Arbor) http://www.math.unl.edu/~siyengar2/Seminars/Unlcas.html

Commutative Algebra Seminar Seminars will be in Avery 351 and will be held twice a week: Tuesdays 3:00 - 3:50 pm Wednesdays 3:30 - 4:20 pm This week's seminar Visitors this academic year Past seminars Subscribe to the mailing list ... University of Kansas Algebra Seminar Seminars 9th and 10th November (Tuesday and Wednesday) Emily Witt (University of Michigan, Ann Arbor) TBA 26th and 27th October (Tuesday and Wednesday) Brian Johnson (UNL) Commutative rings graded by abelian groups 19th and 20th October (Tuesday and Wednesday) Fall Break 12th and 13th October (Tuesday and Wednesday) Micah Leamer (UNL) Torsion in tensor products 5th and 6th October (Tuesday and Wednesday) Jesse Burke (UNL) Chern characters and Hirzebruch-Riemann-Roch formula for matrix factorizations 28th and 29th September (Tuesday and Wednesday) Srikanth Iyengar (UNL) Hopkins' theorem on perfect complexes over commutative rings 22nd September (Wednesday) No seminar 21st September (Tuesday) Henning Krause (Univeristy of Bielefeld, Germany) An axiomatic description of coherent sheaves on weighted projective lines Abstract: This talk gives an elementary introduction to weighted projective lines, as they play an important role in representation theory of algebras. I present a simple formalism which describes the abelian categories arising as categories of coherent sheaves on weighted projective lines.

28. Commutative Algebra Commutative algebra is a branch of abstract algebra that studies commutative rings, their ideals, and modules over such rings. http://nasehpour.tripod.com/peyman/id113.html

PEYMAN AND HIS TONBAK Commutative Algebra Home Articles Biography Contact ... Commutative Algebra Group Commutative Algebra Discussion Forum is a group at Yahoo Groups established by Peyman Nasehpour (moderator). Anybody who is interested in CommAlg can join the group. News : Peyman Nasehpour, Zero-divisors of content algebras , to appear in Archivum Mathematicum (Brno). Modules having very few zero-divisors, an article by Peyman Nasehpour and Sh. Payrovi, To appear in Communications in Algebra This page is about my commalg activities. Also I have gathered some useful links. This is a paper of mine on content modules and algebras. You can see the link for downloading that from arXiv.org with its description: P. Nasehpour, Content algebras over commutative rings with zero divisors, arXiv:0807.1835v2, preprint Throughout this article all rings are commutative with unit and all modules are assumed to be unitary. Professor Winfried Bruns Prof. Dr. Winfried Bruns

29. CoCoA System A special-purpose system for computations in Commutative Algebra. http://cocoa.dima.unige.it/

30. Home Page Of Robert B. Ash Three books by Robert B. Ash (chapters in PDF) Abstract Algebra The Basic Graduate Year, A Course In Algebraic Number Theory, and A Course In Commutative Algebra. http://www.math.uiuc.edu/~r-ash/

Robert B. Ash Professor Emeritus, Mathematics Dept. of Mathematics University of Illinois 1409 W Green St. Urbana, IL 61801 email r-ash [at] math [dot] uiuc [dot] edu Remarks on Expository Writing in Mathematics Click to read/download Remarks in pdf format Books On Line Abstract Algebra: The Basic Graduate Year This is a student-oriented text covering the standard first year graduate course in algebra. Solutions to all problems are included and some of the reasoning is informal. A Course In Algebraic Number Theory An introduction to the subject, covering both global and local fields. The prerequisite is a standard graduate course in algebra. A Course In Commutative Algebra Commutative algebra is the theoretical foundation of algebraic geometry and algebraic number theory. Assuming as prerequisite a standard graduate algebra course, we attempt to reach an advanced level quickly and efficiently. Complex Variables Co-authored by W.P. Novinger (retired), Florida State University. This is a student-oriented text covering the standard first year graduate course in complex variables. Solutions to all problems are included.

31. MSRI - Commutative Algebra Luchezar Avramov, Mark Green, Craig Huneke, Karen E. Smith and Bernd Sturmfels http://www.msri.org/web/msri/scientific/programs/show/-/event/Pm11

Sign In Home Scientific Programs ... Federal Support 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 2002-08-12 to 2003-05-16 Luchezar Avramov, Mark Green, Craig Huneke, Karen E. Smith and Bernd Sturmfels Tags: Commutative algebra Commutative algebra scientific A significant development over the last 20 years is the role that commutative algebra is taking as a tool for solving problems from a rapidly expanding list of disciplines. In oversimplified terms, the process could be described as follows: Mathematicians with various backgrounds discover ways of encoding information of interest into commutative rings and their modules, then use algebraic concepts, methods, and results to analyze that information efficiently. A famous example of such encoding is the translation of an abstract finite simiplicial complex into an ideal represented by the zeroes of square-free monomials in a set of variables corresponding to the vertices of the simplicial complex. Of course, the existing body of work in commutative algebra is not tailored to suit all new demands. This is precisely where the subject benefits most from the recent surge of external interest, as it receives an influx of novel questions, points of view, and expertise. Our year-long program will highlight these recent developments and will include the following areas:

32. Mathematical Sciences Research Institute - Commutative Algebra Commutative algebra comes from several sources the 19th century theory of equations, number theory, invariant theory and algebraic geometry. http://archive.msri.org/calendar/programs/ProgramInfo/17/show_program

SITE MAP SEARCH SHORTCUT: Choose a Destination... Calendar Programs Workshops Summer Grad Workshops Seminars Events/Announcements Application Materials Visa Information Propose a Program Propose a Workshop Policy on Diversity MSRI Alumni Archimedes Society Why Give to MSRI Ways to Give to MSRI Donate to MSRI Planned Gifts FAQ Staff Member Directory Contact Us Directions For Visitors Pictures Library Computing SGP Streaming Video / VMath MSRI in the Media Emissary Newsletter Outlook Newsletter Subscribe to Newsletters Books, Preprints, etc. Federal Support Corporate Affiliates Sponsoring Publishers Foundation Support Academic Sponsors HOME ACTIVITIES CORP PARTNERS ABOUT COMMUNICATIONS Calendar ... MSRI-UP Commutative Algebra August 12, 2002 to May 16, 2003 at the Mathematical Sciences Research Institute, Berkeley, California Organized By: Luchezar Avramov, Mark Green, Craig Huneke, Karen E. Smith and Bernd Sturmfels A significant development over the last 20 years is the role that commutative algebra is taking as a tool for solving problems from a rapidly expanding list of disciplines. In oversimplified terms, the process could be described as follows: Mathematicians with various backgrounds discover ways of encoding information of interest into commutative rings and their modules, then use algebraic concepts, methods, and results to analyze that information efficiently. A famous example of such encoding is the translation of an abstract finite simiplicial complex into an ideal represented by the zeroes of square-free monomials in a set of variables corresponding to the vertices of the simplicial complex. Of course, the existing body of work in commutative algebra is not tailored to suit all new demands. This is precisely where the subject benefits most from the recent surge of external interest, as it receives an influx of novel questions, points of view, and expertise.

33. Commutative Algebra Authors/titles Jul 2007 Title A local ring such that the map between Grothendieck groups with rational coefficient induced by completion is not injective http://arxiv.org/list/math.AC/0707

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 math.AC in Jul 2007 [ total of 22 entries: [ showing up to 25 entries per page: fewer more arXiv:0707.0432 pdf ps other Title: An algebraic proof of the commutativity of the intersection with divisors Authors: Paul Roberts Sandra Spiroff Comments: 14 pp; to appear in J. Algebra Subjects: Commutative Algebra (math.AC) ; Algebraic Geometry (math.AG) arXiv:0707.0547 pdf ps other Title: A local ring such that the map between Grothendieck groups with rational coefficient induced by completion is not injective Authors: Kazuhiko Kurano (Meiji University), Vasudevan Srinivas (Tata Institute) Comments: Subjects: Commutative Algebra (math.AC) ; K-Theory and Homology (math.KT) arXiv:0707.0678 pdf ps other Title: Generic initial ideals and fibre products Authors: Aldo Conca Tim Roemer Comments: 13 pages Subjects: Commutative Algebra (math.AC) ; Combinatorics (math.CO) arXiv:0707.1134 pdf ps other Title: Linearity Defect and Regularity over a Koszul Algebra Authors: Kohji Yanagawa Comments: 13 pages. Several proofs have been simplified, and comments on known results have been revised

34. Commutative Algebra Definition Of Commutative Algebra In The Free Online Encyclo commutative algebra k m yə‚tād iv ′al jə brə (mathematics) An algebra in which the multiplication operation obeys the commutative law. http://encyclopedia2.thefreedictionary.com/Commutative algebra

35. Laura Bazzotti's Home Page Genoa University. Computational Commutative Algebra. Publications, CoCoA resources. http://www.dima.unige.it/~bazzotti/

Dipartimento di Matematica Laura Bazzotti Contact Details DIMA - Dipartimento di Matematica Via Dodecaneso, 35 16146 Genova - ITALY Phone Fax Email address bazzotti@dima.unige.it Research Personal informations and publications COCOA Home Page

36. Commutative Algebra - Eisenbud, David Libro de Eisenbud Springer Publishing Map 9780387942698 797p. 44,71 €. Commutative Algebra is best understood with knowledge of the geometric ideas that have played a great http://www.agapea.com/libros/Commutative-Algebra-isbn-0387942696-i.htm

Ciencias Técnicas Matemáticas Geometría Commutative Algebra Eisenbud, David Springer-Verlag GmbH Idioma: Inglés ISBN: 0387942696 ISBN-13: 9780387942698 Entrega de 5 a 7 días contra reembolso por agencia urgente* Roots and Commutative Algebra; 2. Localization; 3. Associated Primes and Primary Decomposition; 4. Integral Dependence and the Nullstellensatz; 5. Filtrations and the Artin-Rees Lemma; 6. Flat Families; 7. Completions and Hensel's Lemma; II. Dimension Theory; 8. Introduction to Dimension Theory; 9. Fundamental Definitions of Dimension Theory; 10. The Principal Ideal Theorem and Systems of Parameters; 11. Dimension and Codimension One; 12. Dimension and Hilbert- Samuel Polynomials; 13. Dimension of Affine Rings; 14. Elimination Theory, Generic Freeness and the Dimension of Fibers; 15. Grobner Bases; 16. Modules of Differentials; III. Homological Methods; 17. Regular Sequence and the Koszul Complex; 18. Depth, Codimension and Cohen-Macaulay Rings; 19. Homological Theory of Regular Local Rings; 20. Free Resolutions and Fitting Invariants; 21. Duality, Canonical Modules and Gorenstein Rings; Appendix 1. Field Theory;

37. Chapman, Scott Sam Houston State University, Huntsville, Texas. Commutative algebra, finite abelian groups, combinatorics and number theory especially factorization of elements in integral domains and monoids. http://www.shsu.edu/~stc008/

<TABLE style="PAGE-BREAK-BEFORE: always" cellSpacing=0 cellPadding=20 width=700 border=0> Scott T. Chapman Professor and Scholar in Residence <A title="Sam Houston Main Page" href="www.shsu.edu"> Sam Houston State University <A title="Math and Statistics Main Page" href="www.shsu.edu/~mth_www"> Department of Mathematics and Statistics <IMG style="Z-INDEX: 100; LEFT: 359px; POSITION: absolute; TOP: 65px" height=154 alt="" src="chapmanII.jpg" width=132 border=0> Box 2206 <FONT face=Arial color=#000080>Huntsville, Texas 77341-2206

38. (India) Indian Institute Of Technology, Bombay Commutative Algebra Seminar. Meetings. http://www.math.iitb.ac.in/seminar/alg.html

39. I P M - School Of Mathematics - Commutative Algebra - IRAN Welcome to IR.Commalg! (Some wordings of IR.Commalg have been taken from commalg.org by the permission of its webmaster. http://math.ipm.ac.ir/commalg/

HOME CONFERENCES RECENT NEWS PEOPLE ... LINKS Recent news More news Submit news to be announced in IR.Commalg C onference A nnouncements Upcoming: Conferences: The recent and upcoming conferences Submit Conference to be annouced in IR Commalg. People Add to the list of commutative algebraists Search Mathematics Enter your search string here and click on Go! to continue Welcome to IR.Commalg! (Some wordings of IR.Commalg have been taken from commalg.org by the permission of its webmaster. ) The i nformation on IR.Commalg is divided into six categories Conference Announcements Information about the upcoming conferences that focus, at least partially, on commutative algebra. Use

40. Macaulay2 A new software system devoted to supporting research in algebraic geometry and commutative algebra. http://www.math.uiuc.edu/Macaulay2/

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