On the existence of maximal $\mathcal S$-closed submodules

Ulrich Albrecht

doi:10.4171/rsmup/136-18

JournalsrsmupVol. 136pp. 277–289

On the existence of maximal $S$ -closed submodules

Ulrich Albrecht
Auburn University, USA

$On the existence of maximal $\mathcal S$-closed submodules cover$

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Abstract

The goal of this paper is to characterize the right non-singular rings $R$ for which every non-singular right $R$ -module contains a maximal $S$ -closed submodule. Several examples and related results are given.

Cite this article

Ulrich Albrecht, On the existence of maximal $S$ -closed submodules. Rend. Sem. Mat. Univ. Padova 136 (2016), pp. 277–289

DOI 10.4171/RSMUP/136-18