Some applications of a criterion for Artinianness of a module
type: Item
instance of: scholarly article
title: Some applications of a criterion for Artinianness of a module
zbMATH Open document ID: 0842.13014
DOI: 10.1016/0022-4049(94)00059-R
author: Leif Melkersson
published in: Journal of Pure and Applied Algebra
publication date: 1996-08-06T00:00:00Z
review text: The author uses several methods to prove that certain local and Koszul (co)homology modules over commutative rings are Artinian, Noetherian, or finite. Some of the results appear to be new, while others strengthen or reprove known theorems. Also, a version of the Fredholm index is presented and applied to the detection of chain conditions in modules.
Mathematics Subject Classification ID: 13E10
Mathematics Subject Classification ID: 13D03
Mathematics Subject Classification ID: 13E05
zbMATH DE Number: 802563
zbMATH Keywords: artinianness
zbMATH Keywords: Koszul cohomology
zbMATH Keywords: Fredholm index
zbMATH Keywords: chain conditions
reviewed by: William H. Gustafson
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 802563