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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.
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News: 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.
In this article we will discuss special algebras called content, weak content, Gaussian and Armendariz algebras. These
concepts stem from a natural generalization of the same concepts that we have in polynomial and power series rings. For doing
this we need to know about content modules introduced in [OR]. In Section 2, we introduce content modules and mention some
basic properties of content modules that we will use later, also we prove the Nakayama lemma for content modules and characterize
some of the prime and primary submodules of faithfully flat and content modules. In Section 3, we discuss those R-algebras
that are content R-modules and whose content function satisfies some special multiplicative properties such as weak content
and Dedekind-Mertens content formula or Gaussian and Armendariz property. In some cases we will offer the monoid module version
of our results.
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| Professor Winfried Bruns |
Prof. Dr. Winfried Bruns
Prof. Bruns is my supervisor and I was lucky to meet him at IPM in an international workshop on homological methods in commutative
algebra, May 25-31, 2002, Tehran-IRAN (I was one of the local organizers of the workshop). He is one of the best experts of
commutative algebra and the author of the famous book "Cohen-Macaulay rings" (The co-author is Prof. Jürgen Herzog).
Combinatorial commutative algebra is a relatively new, rapidly developing mathematical discipline. As the name implies, it
lies at the intersection of two more established fields, commutative algebra and combinatorics, and frequently uses methods
of one to address problems arising in the other. Less obviously, polyhedral geometry plays a significant role.
Polytopes, Rings and K-theory
PDF: Download commutative algebra arising from the ADG conjectures by Prof. Bruns
Prof. Siamak Yassemi was my supervisor of MSc course (graduated in 1999). At that time I wrote an article with him about M-cancellation ideals.
Here is the link to download it:
P. Nasehpour & S. Yassemi, M-cancellation ideals, Kyungpook Mathematical Journal, Vol. 40, No. 2, 2000 (PDF)
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commutative, algebra, algebraic geometry, Commutative Algebra, rings, ideals, theory, Algebraic
Geometry, Graduate Texts in Mathematics, David Eisenbud, Mathematics, commutative rings, Math, polynomial rings, Algebra,
modules, commutative algebra, Amazon, exercises, homological algebra, Winfried Bruns, rings, algebras, Joseph Gubeladze, affine,
Commutative Algebra, elements, Search, paper, theory, ideals, Jurgen Herzog, FB Mathematik/Informatik, semigroup, proof, MSC,
arXiv, Cambridge University Press
BREAKING NEWS!
Video clip of Peyman Nasehpour on Tonbak
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