Open AccessStrongly Coretractable Modules And Some Related Concepts
Author(s) -
Shukur Neamah Al-aeashi,
Inaam Mohammed Ali Hadi
Publication year - 2017
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v12i12.4432
Subject(s) - mathematics , homomorphism , ring (chemistry) , identity (music) , pure mathematics , discrete mathematics , combinatorics , chemistry , organic chemistry , physics , acoustics
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 .