F-Baer objects with respect to a fully invariant short exact sequence in abelian categories

被引：1
|
作者：
Crivei, Septimiu [1 ]
Tutuncu, Derya Keskin [2 ]
Olteanu, Gabriela [3 ]
机构：
[1] Babes Bolyai Univ, Dept Math, Cluj Napoca, Romania
[2] Hacettepe Univ, Dept Math, Ankara, Turkey
[3] Babes Bolyai Univ, Dept Stat Forecasts Math, Cluj Napoca, Romania
来源：
COMMUNICATIONS IN ALGEBRA | 2021年 / 49卷 / 12期
关键词：
Abelian category; (dual) (strongly) Baer object; (dual) (strongly) F-Baer object; fully invariant short exact sequence; STRONGLY RICKART OBJECTS; DIRECT SUMS; T-RICKART; MODULES;
D O I：
10.1080/00927872.2021.1935986
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：5041 / 5060
页数：20
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