Modules whose maximal submodules have supplements

Alizade, R; Bilhan, GÖKHAN; Smith, PF

doi:10.1081/agb-100002396

Modules whose maximal submodules have supplements

Alizade R., Bilhan G., Smith P.

COMMUNICATIONS IN ALGEBRA, cilt.29, sa.6, ss.2389-2405, 2001 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 29 Sayı: 6
Basım Tarihi: 2001
Doi Numarası: 10.1081/agb-100002396
Dergi Adı: COMMUNICATIONS IN ALGEBRA
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.2389-2405
Dokuz Eylül Üniversitesi Adresli: Evet

Özet

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.