Copy For Citation
Crivei S., KESKİN TÜTÜNCÜ D., Olteanu G.
COMMUNICATIONS IN ALGEBRA, vol.49, no.12, pp.5041-5060, 2021 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
49
Issue:
12
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Publication Date:
2021
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Doi Number:
10.1080/00927872.2021.1935986
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Journal Name:
COMMUNICATIONS IN ALGEBRA
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
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Page Numbers:
pp.5041-5060
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Keywords:
Abelian category, (dual) (strongly) Baer object, (dual) (strongly) F-Baer object, fully invariant short exact sequence, STRONGLY RICKART OBJECTS, DIRECT SUMS, T-RICKART, MODULES
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Hacettepe University Affiliated:
Yes
Abstract
We introduce and study (dual) relative F-Baer objects as specializations of (dual) relative split objects with respect to a fully invariant short exact sequence in AB3* (AB3) abelian categories. We analyze their relationship with (dual) relative Baer objects, and we study direct summands and direct sums of (dual) relative F-Baer objects. We give applications to module and comodule categories.