Ali Reza Moniri HAMZEKOLAEE, Yahya TALEBİ

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 some conditions that a module $M$ is coretractable if and only if $M$ is coretractable relative to a submodule $N$. We also provide some examples to illustrate special cases.

Keywords:

Coretractable module, N-coretractable module,

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Journal of Algebra Combinatorics Discrete Structures and Applications-Cover

Başlangıç: 2015
Yayıncı: İrfan ŞİAP

Arşiv

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Coretractable modules relative to a submodule

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