TY  - JOUR
T1  - Coretractable modules relative to a submodule
AU  - Hamzekolaee, Ali Reza Moniri
AU  - Talebi, Yahya
PY  - 2019
DA  - May
DO  - 10.13069/jacodesmath.561322
JF  - Journal of Algebra Combinatorics Discrete Structures and Applications
PB  - iPeak Academy
WT  - DergiPark
SN  - 2148-838X
SP  - 95
EP  - 103
VL  - 6
IS  - 2
LA  - en
AB  - Let $R$ be a ring and $M$ a right $R$-module. Let $N$ be a proper submoduleof $M$. 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 isa nonzero homomorphism $f:M/K\rightarrow M$. We present some conditionsthat 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.
KW  - Coretractable module
KW  - N-coretractable module
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UR  - https://doi.org/10.13069/jacodesmath.561322
L1  - https://dergipark.org.tr/en/download/article-file/709224
ER  -