Finitely genarated $\delta$-supplemented modules are amply $\delta$-supplemented

Authors

  • Rachid Tribak

Keywords:

$\delta$-small submodule, $\delta$-local module, $m$-$\delta$-local module, $\delta$-supplemented module, amply $\delta$-supplemented module

Abstract

It is shown that if a module $M$ is a sum of $\delta$-local submodules and a semisimple projective submodule, then every finitely generated submodule of $M$ is $\delta$-supplemented. From this result, we conclude that finitely generated $\delta$-supplemented modules over commutative rings are amply $\delta$-supplemented. 10.1017/S0004972711003406

Published

2012-10-22

Issue

Vol. 86 No. 3 (2012)

Section

Articles
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