Modules whose maximal submodules have supplements

Alizade R., Bilhan G., Smith P.

COMMUNICATIONS IN ALGEBRA, vol.29, no.6, pp.2389-2405, 2001 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 29 Issue: 6
  • Publication Date: 2001
  • Doi Number: 10.1081/agb-100002396
  • Journal Name: COMMUNICATIONS IN ALGEBRA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2389-2405
  • Dokuz Eylül University Affiliated: Yes

Abstract

A ring R is semiperfect if and only if, for every (cyclic) R-module Al, every maximal submodule has (ample) supplements in M. A non-local commutative domain R is h-local if and only if, for every (cyclic) torsion R-module Al, every maximal submodule of M has (ample) supplements in M.