Rings Characterizations with Mutually SS-Supplemented Modules

Authors : Burcu Nişancı Türkmen, Zehra Betül Meşeci

Pages : 30-34

Doi:10.17798/bitlisfen.1310501

View : 53 | Download : 66

Publication Date : 2024-03-24

Article Type : Research Paper

Abstract :In this text, the notion of mutually ss-supplemented modules characterizes with the help of semiperfect rings. For this mutually ss-supplemented modules were first classified according to certain properties. These features can be listed as follows in the refinable modules, distributive modules, fully invariant submodules and (π-)projective modules. Especially it was proven that each ????-projective mutually ss-supplemented module is amply mutually ss-supplemented. It was obtained that every ss-supplemented refinable module has direct summand which is a mutually ss-supplement in the module. It was shown that C=⨁_(ϱ∈Λ ) C_ϱ is a mutually ss-supplemented module which each submodule of C is a fully invariant submodule, for the family of mutually ss-supplemented modules {C_ϱ }_(ϱ∈Λ).
Keywords : Semisimple module, Mutual supplements, ss supplement, Mutually ss supplemented module