Goldie-Rad-Supplemented Modules

dc.contributor.author	Talebi, Yahya
dc.contributor.author	Hamzekolaee, Ali Reza Moniri
dc.contributor.author	Tercan, Adnan
dc.date.accessioned	2019-12-16T09:40:06Z
dc.date.available	2019-12-16T09:40:06Z
dc.date.issued	2014
dc.identifier.issn	1224-1784
dc.identifier.uri	https://doi.org/10.2478/auom-2014-0059
dc.identifier.uri	http://hdl.handle.net/11655/19803
dc.description.abstract	In this paper we introduce beta relation on the lattice of submodules of a module M. We say that submodules X, Y of M are beta equivalent, X betaY, if and only if X+Y/X subset of Rad(M)+X/X and X+Y/Y subset of Rad(M)+Y/Y We show that the beta relation is an equivalence relation. We also investigate some general properties of this relation. This relation is used to define and study classes of Goldie-Rad-supplemented and Rad-H-supplemented modules. We prove M = A circle plus B is Goldie-Rad-supplemented if and only if A and B are Goldie-Rad-supplemented.
dc.language.iso	en
dc.publisher	Ovidius Univ Press
dc.relation.isversionof	10.2478/auom-2014-0059
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Mathematics
dc.title	Goldie-Rad-Supplemented Modules
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.relation.journal	Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica
dc.contributor.department	Matematik
dc.identifier.volume	22
dc.identifier.issue	3
dc.identifier.startpage	205
dc.identifier.endpage	218
dc.description.index	WoS
dc.description.index	Scopus