CS-Baer and dual CS-Baer objects in abelian categories
S Crivei, DK Tütüncü, SM Radu… - Journal of Algebra and Its …, 2023 - World Scientific
We investigate relative CS-Baer objects in abelian categories in relationship with other
relevant classes of objects such as relative Baer objects, extending objects, objects having …
relevant classes of objects such as relative Baer objects, extending objects, objects having …
Transfer of CS-Rickart and dual CS-Rickart properties via functors between abelian categories
S Crivei, SM Radu - Quaestiones Mathematicae, 2022 - Taylor & Francis
We study the transfer of (dual) relative CS-Rickart properties via functors between abelian
categories. We consider fully faithful functors as well as adjoint pairs of functors. We give …
categories. We consider fully faithful functors as well as adjoint pairs of functors. We give …
𝔐-Endoregular lattices
M Medina-Bárcenas, H Rincón-Mejía - Communications in Algebra, 2024 - Taylor & Francis
In a previous work,(dual)-m-Rickart lattices were studied. Now, in this paper, we introduce m-
endoregular lattices as those lattices L such that m is a regular monoid, where m is a …
endoregular lattices as those lattices L such that m is a regular monoid, where m is a …
Strongly CS-Rickart and dual strongly CS-Rickart objects in abelian categories
S Crivei, SM Radu - Communications in Algebra, 2022 - Taylor & Francis
We introduce (dual) strongly relative CS-Rickart objects in abelian categories, as common
generalizations of (dual) strongly relative Rickart objects and strongly extending (lifting) …
generalizations of (dual) strongly relative Rickart objects and strongly extending (lifting) …
Rings Whose Certain Modules are Dual Self-CS-Baer
N Eroğlu - Mathematical Sciences and Applications E-Notes - dergipark.org.tr
In this work, we characterize some rings in terms of dual self-CS-Baer modules (briefly, ds-
CS-Baer modules). We prove that any ring R is a left and right artinian serial ring with …
CS-Baer modules). We prove that any ring R is a left and right artinian serial ring with …
Pure Extending Objects
MK Berktaş - Konuralp Journal of Mathematics, 2021 - dergipark.org.tr
In this paper we introduce two new concepts, namely, pure extending objects and K-
nonsingular objects and then, we prove that any pair of subisomorphic K-nonsingular …
nonsingular objects and then, we prove that any pair of subisomorphic K-nonsingular …
Strongly CS-Rickart objects in abelian categories
SM Radu - mathinfo.ms.sapientia.ro
Motivated by the work of Abyzov and Nhan on (dual) CS-Rickart modules [1], we introduced
in [3](dual) CS-Rickart objects in abelian categories as a common generalization of (dual) …
in [3](dual) CS-Rickart objects in abelian categories as a common generalization of (dual) …