Modules whose maximal submodules have supplements

Authors
Alizade, R Bilhan, G Smith, PF
Citation
R. Alizade et al., Modules whose maximal submodules have supplements, COMM ALGEB, 29(6), 2001, pp. 2389-2405
Citations number
13
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN ALGEBRA
ISSN journal
00927872 → ACNP
Volume
29
Issue
6
Year of publication
2001
Pages
2389 - 2405
Database
ISI
SICI code
0092-7872(2001)29:6<2389:MWMSHS>2.0.ZU;2-D
Abstract
A ring R is semiperfect if and only if, for every (cyclic) R-module Al, eve ry 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.