Strongly radical supplemented modules

• Published in: Український математичний журнал
• Date: 2011
• Main Authors: Büyükaşık, E., Türkmen, E.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Subjects: Короткі повідомлення
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/166362
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Strongly radical supplemented modules / E. Büyükaşık, E. Türkmen // Український математичний журнал. — 2011. — Т. 63, № 8. — С. 1140–1146. — Бібліогр.: 7 назв. — англ.

Zoschinger studied modules whose radicals have supplements and called these modules radical supplemented. Motivated by this, we call a module strongly radical supplemented (briefly srs) if every submodule containing the radical has a supplement. We prove that every (finitely generated) left module i...