TY - JOUR
ID - 76601
TI - (r,t)-injectivity in the category $S$-Act
JO - Categories and General Algebraic Structures with Applications
JA - CGASA
LA - en
SN - 2345-5853
AU - Haddadi, Mahdieh
AU - Naser Sheykholislami, Seyed Mojtaba
AD - Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan, Iran.
AD - Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan, Iran.
Y1 - 2019
PY - 2019
VL - 11
IS - Special Issue Dedicated to Prof. George A. Grätzer
SP - 169
EP - 196
KW - Injectivity
KW - $S$-act
KW - Hoehnke radical
DO - 10.29252/cgasa.11.1.169
N2 - 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.
UR - https://cgasa.sbu.ac.ir/article_76601.html
L1 - https://cgasa.sbu.ac.ir/article_76601_35b108e0967457882abe5232f68aa727.pdf
ER -