CS-Rickart and dual CS-Rickart objects in abelian categories

S Crivei, SM Radu - 2022 - projecteuclid.org
We introduce relative CS-Rickart objects in abelian categories, as common generalizations
of relative Rickart objects and extending objects. We study direct summands and (co) …

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 …

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) …

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 …