Coretractable modules relative to a submodule

Let $R$ be a ring and $M$ a right $R$-module. Let $N$ be a proper submodule of $M$. We say that $M$ is $N$-coretractable (or $M$ is coretractable relative to $N$) provided that, for every proper submodule $K$ of $M$ containing $N$, there is a nonzero homomorphism $f:M/K\rightarrow M$. We present som...

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Bibliographic Details
Main Authors: Ali Reza Moniri Hamzekolaee, Yahya Talebi
Format: Article
Language:English
Published: Yildiz Technical University 2019-05-01
Series:Journal of Algebra Combinatorics Discrete Structures and Applications
Online Access:http://jacodesmath.com/index.php/jacodesmath/article/view/241