T-Essentially Coretractable and Weakly T-Essentially Coretractable Modules

Authors

Inaam Mohammed Ali Hadi, University of BaghdadFollow
Shukur Al-Aeashi, University of KufaFollow
Farhan Shyaa, University of Al-QadisiyahFollow

Abstract

A new generalizations of coretractable modules are introduced where a module is called t-essentially (weakly t-essentially) coretractable if for all proper submodule of , there exists fϵ∈End(mℳ), f(��k)=0 and Imf≤tesℳ(Imf+k��≤tesℳ). . Some basic properties are studied and many relationships between these classes and other related one are presented.

Keywords

Coretrectable ; t-essentially Coretrectable ; weakly t-essentially Coretrectable .

Article Type

Article

How to Cite this Article

Hadi, Inaam Mohammed Ali; Al-Aeashi, Shukur; and Shyaa, Farhan (2021) "T-Essentially Coretractable and Weakly T-Essentially Coretractable Modules," Baghdad Science Journal: Vol. 18: Iss. 1, Article 1.
DOI: https://doi.org/10.21123/bsj.2021.18.1.0156