Finitely presented modules over semiperfect rings satisfying ACC-∞

Louis H. Rowen

doi:10.1016/0021-8693(87)90090-1

Finitely presented modules over semiperfect rings satisfying ACC-∞

Louis H. Rowen

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Endomorphism rings of finitely presented modules over semiperfect rings are studied, leading to a Krull-Schmidt decomposition theory of modules for finitely generated modules over complete semiperfect Noetherian rings. An example is given of a local non-Noetherian ring having a finitely presented module with pathelogical properties.

Original language	English
Pages (from-to)	284-291
Number of pages	8
Journal	Journal of Algebra
Volume	107
Issue number	1
DOIs	https://doi.org/10.1016/0021-8693(87)90090-1
State	Published - 15 Apr 1987

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title = "Finitely presented modules over semiperfect rings satisfying ACC-∞",

abstract = "Endomorphism rings of finitely presented modules over semiperfect rings are studied, leading to a Krull-Schmidt decomposition theory of modules for finitely generated modules over complete semiperfect Noetherian rings. An example is given of a local non-Noetherian ring having a finitely presented module with pathelogical properties.",

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AB - Endomorphism rings of finitely presented modules over semiperfect rings are studied, leading to a Krull-Schmidt decomposition theory of modules for finitely generated modules over complete semiperfect Noetherian rings. An example is given of a local non-Noetherian ring having a finitely presented module with pathelogical properties.

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Finitely presented modules over semiperfect rings satisfying ACC-∞

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