RELATIVE SUBCOPURE-INJECTIVE MODULES
[ X ]
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ankara Univ, Fac Sci
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, copure-injective modules are examined from an alternative perspective. For two modules A and B, A is called B-subcopure-injective if for every copure monomorphism f : B -> C and homomorphism g : B -> A, there exists a homomorphism h : C -> A such that hf = g. The class CPJ(-1) (A) = {B : A is B-subcopure-injective} is called the subcopure-injectivity domain of A. We obtain characterizations of copure-injective modules, right CDS rings and right V-rings with the help of subcopure-injectivity domains. Since subcopure-injectivity domains clearly contains all copure-injective modules, studying the notion of modules which are subcopure-injective only with respect to the class of copure-injective modules is reasonable. We refer to these modules as sc-indigent. We studied the properties of subcopure-injectivity domains and of sc-indigent modules and investigated these modules over some certain rings.
Açıklama
Anahtar Kelimeler
Copure-injective modules, subcopure-injectivity domains, sc-indigent modules, CDS rings
Kaynak
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
69
Sayı
1
