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

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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 languageEnglish
Pages (from-to)257-264
Number of pages8
JournalIsrael Journal of Mathematics
Volume45
Issue number2-3
DOIs
StatePublished - Jun 1983

ASJC Scopus subject areas

  • General Mathematics

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