Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/4788
Title: Strongly radical supplemented modules
Authors: Büyükaşık, Engin
Türkmen, Ergül
Keywords: Supplemented modules
Strongly radical supplemented
R-modules
Dedekind domain
Rings (Algebra)
Publisher: Springer Verlag
Source: Büyükaşık, E., and Türkmen, E. (2012). Strongly radical supplemented modules. Ukrainian Mathematical Journal, 63(8), 1306-1313. doi:10.1007/s11253-012-0579-3
Abstract: Zöschinger 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 is an srs-module if and only if the ring is left (semi)perfect. Over a local Dedekind domain, srs-modules and radical supplemented modules coincide. Over a nonlocal Dedekind domain, an srs-module is the sum of its torsion submodule and the radical submodule. © 2012 Springer Science+Business Media, Inc
URI: http://doi.org/10.1007/s11253-012-0579-3
http://hdl.handle.net/11147/4788
ISSN: 0041-5995
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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