TY  - JOUR
T1  - Relative subcopure-injective modules
AU  - Alagöz, Yusuf
PY  - 2020
DA  - June
Y2  - 2020
DO  - 10.31801/cfsuasmas.640331
JF  - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
JO  - Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.
PB  - Ankara University
WT  - DergiPark
SN  - 1303-5991
SP  - 832
EP  - 846
VL  - 69
IS  - 1
LA  - en
AB  - In this paper, copure-injective modules is examined from an alternative perspective.For two modules A and B, A is called B-subcopure-injective if for everycopure monomorphism f : B → C and homomorphism g : B→ A, there exists ahomomorphism h : C→ A such that hf=g. For a module A, thesubcopure-injectivity domain of A is defined to be the collection of allmodules B such that A is B-subcopure-injective. Basic properties of the notion of subcopure-injectivity are investigated. We obtaincharacterizations for various types of rings and modules, including copure-injective modules, right CDS rings and right V-rings in terms of subcopure-injectivity domains. Sincesubcopure-injectivity domains clearly contains all copure-injective modules,studying the notion of modules which are subcopure-injective only with respectto the class of copure-injective modules is reasonable. We refer to thesemodules as sc-indigent. We studied the properties of subcopure-injectivitydomains and of sc-indigent modules and investigated over some certain rings.
KW  - Copure-injective modules
KW  - subcopure-injectivity domains
KW  - sc-indigent modules
KW  - CDS rings
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UR  - https://doi.org/10.31801/cfsuasmas.640331
L1  - https://dergipark.org.tr/en/download/article-file/1072016
ER  -