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Weakly regular modules over normal rings

✍ Scribed by Abyzov, A. N. (author)

Publisher: SP MAIK Nauka/Interperiodica
Year: 2008
Tongue: English
Weight: 187 KB
Volume: 49
Category: Article
ISSN: 0037-4466
DOI: 10.1007/s11202-008-0055-3

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📜 SIMILAR VOLUMES

✍ Abyzov, A. N. (author) 📂 Article 📅 2008 🏛 SP MAIK Nauka/Interperiodica 🌐 English ⚖ 187 KB

Weakly minimal modules over integral gro

Weakly minimal modules over integral group rings and over related classes of rings

✍ Stefano Leonesi; Sonia L'Innocente; Carlo Toffalori 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 204 KB

A module is weakly minimal if and only if every pp-definable subgroup is either finite or of finite index. We study weakly minimal modules over several classes of rings, including valuation domains, Prüfer domains and integral group rings.

The Structure of Countably Generated Pro

The Structure of Countably Generated Projective Modules Over Regular Rings

✍ P. Ara; E. Pardo; F. Perera 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 287 KB

We prove that, for every regular ring R, there exists an isomorphism between the monoids of isomorphism classes of finitely generated projective right modules Ž Ž . . Ž . over the rings End R and RCFM R , where the latter denotes the ring of R R countably infinite row-and column-finite matrices over

Weakly associated primes and primary dec

Weakly associated primes and primary decomposition of modules over commutative rings

✍ R. Naghipour; M. Sedghi 📂 Article 📅 2006 🏛 Akadmiai Kiad 🌐 English ⚖ 208 KB

Betti Numbers of Modules of Exponent Two

Betti Numbers of Modules of Exponent Two over Regular Local Rings

✍ Shou-Te Chang 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 271 KB

Let R, m, K be a regular local ring of dimension n and let M be a finite length module over R. This paper gives an affirmative answer to Horrocks' questions when m 2 M s 0, that is, in this case the rank of the ith syzygy of M is at and the ith Betti number of M is at least .

Sheaves on finite posets and modules ove

Sheaves on finite posets and modules over normal semigroup rings

✍ Kohji Yanagawa 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 225 KB

Recently, the local cohomology module H i I (S) of a polynomial ring S with supports in a monomial ideal I has been studied by several authors. In the present paper, we will extend these results to a normal Gorenstein semigroup ring More precisely, we will study the local cohomology modules H i I (