%0 Journal Article
%T (r,t)-injectivity in the category $S$-Act
%J Categories and General Algebraic Structures with Applications
%I Shahid Beheshti University
%Z 2345-5853
%A Haddadi, Mahdieh
%A Naser Sheykholislami, Seyed Mojtaba
%D 2019
%\ 07/01/2019
%V 11
%N Special Issue Dedicated to Prof. George A. Grätzer
%P 169-196
%! (r,t)-injectivity in the category $S$-Act
%K Injectivity
%K $S$-act
%K Hoehnke radical
%R 10.29252/cgasa.11.1.169
%X In this paper, we show that injectivity with respect to the class $\mathcal{D}$ of dense monomorphisms of an idempotent and weakly hereditary closure operator of an arbitrary category well-behaves. Indeed, if $\mathcal{M}$ is a subclass of monomorphisms, $\mathcal{M}\cap \mathcal{D}$-injectivity well-behaves. We also introduce the notion of $(r,t)$-injectivity in the category {\bf S-Act}, where $r$ and $t$ are Hoehnke radicals, and discuss whether this kind of injectivity well-behaves.
%U https://cgasa.sbu.ac.ir/article_76601_35b108e0967457882abe5232f68aa727.pdf