Services on Demand
Journal
Article
Indicators
Cited by SciELO
Access statistics
Related links
Cited by Google
Similars in SciELO
Similars in Google
Share
Revista Colombiana de Matemáticas
Print version ISSN 0034-7426
Abstract
AMOUZEGAR, Tayyebeh. On L-⊕-supplemented modules. Rev.colomb.mat. [online]. 2020, vol.54, n.2, pp.129-139. Epub Mar 05, 2021. ISSN 0034-7426. https://doi.org/10.15446/recolma.v54n2.93842.
In this note we introduce L-⊕-supplemented modules as a proper generalization of ⊕-supplemented modules. A module M is called L-⊕-supplemented if for every ø ∈ End R øM), there exists a direct summand L of M such that Imø + L = M and Imø « L. It is shown that if M is a L-⊕-supplemented module with D 3 condition, then every direct summand of M is L ⊕-supplemented. We prove that if M = M 1 ⊕ M 2 is L-⊕-supplemented such that M 1 and M 2 are relative projective, then M 1 and M 2 are L-⊕-supplemented. We study some rings whose modules are L-⊕-supplemented.
Keywords : Supplemented module; L-⊕-supplemented module; dual Rickart module; endomorphism ring; V-ring.