Goldie-Rad-Supplemented Modules

In this paper we introduce ** relation on the lattice of submodules of a module . We say that submodules of are ** equivalent, , if and only if and . We show that the relation is an equivalence relation. We also investigate some general properties of this relation. This relation is used to define an...

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Veröffentlicht in:	Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică 2014-09, Vol.22 (3), p.205-218
Hauptverfasser:	Talebi, Yahya, Hamzekolaee, Ali Reza Moniri, Tercan, Adnan
Format:	Artikel
Sprache:	eng
Schlagworte:	Goldie Goldie-(lifting)supplemented module goldie-rad-supplemented module h-supplemented module Primary 16D10 rad-h-supplemented module Secondary 16D70, 16D90 supplemented module
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Beschreibung
Zusammenfassung:	In this paper we introduce relation on the lattice of submodules of a module . We say that submodules of are equivalent, , if and only if and . We show that the 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- -supplemented and -supplemented modules. We prove = ⊕ is Goldie- supplemented if and only if and are Goldie- -supplemented.
ISSN:	1844-0835 1844-0835
DOI:	10.2478/auom-2014-0059