Modules satisfying both chain conditions with respect to a torsion theory

Jonathan S. Golan

doi:10.1090/S0002-9939-1975-0429981-2

Modules satisfying both chain conditions with respect to a torsion theory

Jonathan S. Golan

Department of Mathematics

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

Abstract

Goldman [3 J has introduced the notion of the length of a module with respect to a torsion theory and has studied finitely-generated modules over left noetherian rings which have finite length. In this note we simplify the proofs of some of Goldman's results and generalize them by removing both the finite-generation and noetherianness conditions.

Original language	English
Pages (from-to)	103-108
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	52
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1975-0429981-2
State	Published - Oct 1975

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1975-0429981-2

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Modules satisfying both chain conditions with respect to a torsion theory

Abstract

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