Malaysian Journal of Mathematical Sciences, May 2015, Vol. 9, No. 2
Endomorphism Rings of Semi-Injective Coretractable Modules
Tayyebeh Amouzegar
Corresponding Email: t.amouzgar@qiet.ac.ir
Received date: -
Accepted date: -
Abstract:
Let $M$ be a semi-injective coretractable module with endomorphism ring $S$. It is shown that if $M$ is an UCC module and $J \leq_{e} \ell_{S} (r_{M}(J))$ for every $J \leq S_{S}$ , then $M$ is a lifting module if and only if $S_{S}$ is extending.
Keywords: coretractable module, semi-injective module, endomorphism ring
Indexing
