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Communications in Algebra Volume 50, 2022 - Issue 3
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Articles

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

Septimiu CriveiFaculty of Mathematics and Computer Science, Babeş-Bolyai University, Cluj-Napoca, RomaniaCorrespondence[email protected]
&
Simona Maria RaduFaculty of Mathematics and Computer Science, Babeş-Bolyai University, Cluj-Napoca, Romania
Pages 903-919 | Received 16 Jan 2021, Accepted 31 Aug 2021, Published online: 21 Sep 2021
 
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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.

2020 MATHEMATICS SUBJECT CLASSIFICATION:

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