On the endomorphism ring of a module noetherian with respect to a torsion theory

Jonathan S. Golan

doi:10.1007/BF02774021

On the endomorphism ring of a module noetherian with respect to a torsion theory

Jonathan S. Golan

Department of Mathematics

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

Abstract

If M is a module torsionfree and noetherian with respect to a torsion theory, if S is the endomorphism ring of M, and if L(S) is the ideal of S consisting of all endomorphisms with large kernels, then L(S) is nilpotent and a bound on the index of nilpotency of L(S) is given.

Original language	English
Pages (from-to)	257-264
Number of pages	8
Journal	Israel Journal of Mathematics
Volume	45
Issue number	2-3
DOIs	https://doi.org/10.1007/BF02774021
State	Published - Jun 1983

ASJC Scopus subject areas

General Mathematics

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10.1007/BF02774021

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title = "On the endomorphism ring of a module noetherian with respect to a torsion theory",

abstract = "If M is a module torsionfree and noetherian with respect to a torsion theory, if S is the endomorphism ring of M, and if L(S) is the ideal of S consisting of all endomorphisms with large kernels, then L(S) is nilpotent and a bound on the index of nilpotency of L(S) is given.",

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AU - Golan, Jonathan S.

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AB - If M is a module torsionfree and noetherian with respect to a torsion theory, if S is the endomorphism ring of M, and if L(S) is the ideal of S consisting of all endomorphisms with large kernels, then L(S) is nilpotent and a bound on the index of nilpotency of L(S) is given.

UR - https://www.scopus.com/pages/publications/51649162500

U2 - 10.1007/BF02774021

DO - 10.1007/BF02774021

M3 - Article

AN - SCOPUS:51649162500

SN - 0021-2172

VL - 45

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EP - 264

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 2-3

ER -

On the endomorphism ring of a module noetherian with respect to a torsion theory

Abstract

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