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

S Crivei, SM Radu - Communications in Algebra, 2022 - Taylor & Francis
S Crivei, SM Radu
Communications in Algebra, 2022Taylor & 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)
objects. We give general properties, and we study direct summands,(co) products of (dual)
strongly relative CS-Rickart objects and classes all of whose objects are (dual) strongly self-
CS-Rickart.
Abstract
We introduce (dual) strongly relative CS-Rickart objects in abelian categories, as common generalizations of (dual) strongly relative Rickart objects and strongly extending (lifting) objects. We give general properties, and we study direct summands, (co)products of (dual) strongly relative CS-Rickart objects and classes all of whose objects are (dual) strongly self-CS-Rickart.
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