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A GENERALIZATION OF CORETRACTABLE MODULES
Let $R$ be a ring and $M$ a right $R$-module. We call $M$, coretractable relative to $overline{Z}(M)$ (for short, $overline{Z}(M)$-coretractable) provided that, for every proper submodule $N$ of $M$ containing $overline{Z}(M)$, there is a nonzero homomorphism $f:dfrac{M}{N}rightarrow M$. We investigate some conditions under which the two concepts coretractable and $overline{Z}(M)$-coretractable...
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ژورنال
عنوان ژورنال: Journal of Al-Qadisiyah for computer science and mathematics
سال: 2017
ISSN: 2521-3504,2074-0204
DOI: 10.29304/jqcm.2017.9.2.160