SS-Coprime Modules

Inaam Mohaamed ali Hadi

doi:10.24297/jam.v11i5.1245

SS-Coprime Modules

Authors

Inaam Mohaamed ali Hadi University of Baghdad -College of Education for Pure sciences(Ibn-Al-Haithaim)

DOI:

https://doi.org/10.24297/jam.v11i5.1245

Keywords:

Coprime module, S-Coprime module, SS-Coprime module, SSS-Coprime module, Ï„-noncosingular module.

Abstract

Let R be a commutative ring with unity and M is a unitary left R-module . In this paper , we introduce the notion of strongly S-coprime modules, where M is called strongly S-coprime briefly (SS-Coprime) if for each r R , r²M is small in M implies rM=0 . We investigate many properties about this concept. Moreover many relations between it and other related concepts, are given. Â Â Â