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CS-Baer and dual CS-Baer objects in abelian categories.

Authors :
Crivei, Septimiu
Tütüncü, Derya Keskin
Radu, Simona Maria
Tribak, Rachid
Source :
Journal of Algebra & Its Applications. Oct2023, Vol. 22 Issue 10, p1-30. 30p.
Publication Year :
2023

Abstract

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 certain summand intersection properties and relative CS-Rickart objects. Dual results are automatically obtained by applying the duality principle in abelian categories. We also study direct sums of relative CS-Baer objects, and we determine the complete structure of dual self-CS-Baer modules over Dedekind domains. Further applications are given to module categories. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02194988
Volume :
22
Issue :
10
Database :
Academic Search Index
Journal :
Journal of Algebra & Its Applications
Publication Type :
Academic Journal
Accession number :
171588257
Full Text :
https://doi.org/10.1142/S0219498823502201