Essential and extending modules relative to a left exact preradical
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498821500870
Abstract: We give a relativization of the notions of essential, uniform, closed, injective and extending modules with respect to a left exact preradical on the ring. We also give useful examples and show tha... read more here.
Keywords: left exact; exact preradical; essential extending; modules relative ... See more keywords
On K-extending modules
Sign Up to like & getrecommendations! Published in 2017 at "Tamkang Journal of Mathematics"
DOI: 10.5556/j.tkjm.48.2017.1838
Abstract: Let $M$ be a right $R$-module and $S=End_R(M)$. We call $M$ a $\mathcal{K}$-extending module if for every element $\phi\in S$, Ker$\phi$ is essential in a direct summand of $M$. In this paper we investigate these… read more here.
Keywords: module; mathcal extending; extending modules;