Strongly Coretractable Modules and Some Related Concepts

Inaam Mohammed Ali Hadi; Shukur Neamah Al-aeashi

doi:10.24297/jam.v12i12.8564

Authors

Inaam Mohammed Ali Hadi University of Baghdad
Shukur Neamah Al-aeashi University of Kufa

DOI:

https://doi.org/10.24297/jam.v12i12.8564

Keywords:

Coretractable Module, Strongly Coretractable Module, Mono-Coretractable Module, Epi-Coretractable Module, Rickart Module and Nonsingular Module

Abstract

Let R be a ring with identity and M be an R-module with unite. The module M is called strongly coretractable module if for each proper submodule N of M, there exists a nonzero R-homomorphism f:M/N→M such that Imf+N=M. In this paper, we investigate some relationships between strongly coretractable module and other related concepts.

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Author Biographies

Inaam Mohammed Ali Hadi , University of Baghdad

Department of Mathematics, College of Education for Pure Sciences (Ibn-Al-Haitham), University of Baghdad, Iraq

Shukur Neamah Al-aeashi, University of Kufa

Department of Urban Planning, College of Physical Planning, University of Kufa, Iraq

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