✦ LIBER ✦

Presentations of Modules over Local Domains

✍ Scribed by L. Salce; P. Zanardo

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 272 KB
Volume: 207
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7446

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📜 SIMILAR VOLUMES

Filtered Modules over Discrete Valuation

Filtered Modules over Discrete Valuation Domains

✍ Fred Richman; Elbert A. Walker 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 275 KB

We consider a unified setting for studying local valuated groups and cosetvaluated groups, emphasizing the associated filtrations rather than the values of elements. Stable exact sequences, projectives, and injectives are identified in the encompassing category, and in the category corresponding to

SCr Modules over Local Rings

✍ Jee Heub Koh 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 134 KB

We show that the following two conditions, for each integer r G 1, are equivalent for a finitely generated module M over a complete Noetherian local ring Ž . R, ᒊ : embeddable in E r , where E denotes the injective hull of the residue field Rrᒊ. Ž . r Ž . b Either M ; E , or else dim Hom Rrᒊ, M s k

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 .

A Criterion for Complete Decomposability

A Criterion for Complete Decomposability and Butler Modules over Valuation Domains

✍ K.M. Rangaswamy 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 189 KB

The Krull–Schmidt Property for Finitely

The Krull–Schmidt Property for Finitely Generated Modules over Valuation Domains

✍ Paolo Zanardo 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 186 KB

Local Cohomology of Modules of Covariant

Local Cohomology of Modules of Covariants

✍ Michel van den Bergh 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 429 KB

Let G be a connected reductive algebraic group over an algebraically closed field of characteristic zero and let W, U be two finite dimensional representations of G. In this paper we compute the local cohomology of (U SW ) G provided a certain relatively weak technical condition is true.