When do maximal submodules force linearity ?

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Abstract

Let $M$ be a maximal submopdule of an $R$-module $V$. Let $f: V \to V$ be a map with $f(rv) = rf(v)$, $r \in R, v \in V$. In this paper we consider the problem of determining when $f \in Hom_R (M,V)$ implies $f \in End_R V$.
Original languageEnglish
Pages (from-to)211-224
Number of pages14
JournalJournal of Pure and Applied Algebra
Volume141
Issue number3
DOIs
Publication statusPublished - 15 Sept 1999

Fields of science

  • 101 Mathematics
  • 101001 Algebra
  • 101005 Computer algebra
  • 101013 Mathematical logic
  • 102031 Theoretical computer science

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