π-Rickart and dual π-Rickart objects in abelian categories

被引：1
|
作者：
Crivei, Septimiu [1 ]
Olteanu, Gabriela [2 ]
机构：
[1] Babes Bolyai Univ, Fac Math & Comp Sci, Str M Kogalniceanu 1, Cluj Napoca 400084, Romania
[2] Babes Bolyai Univ, Dept Stat Forecasts Math, Str T Mihali 58-60, Cluj Napoca 400591, Romania
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2021年 / 20卷 / 12期
关键词：
Abelian category; (dual) pi-Rickart object; (dual) strongly pi-Riclart object; (strongly) Hopfian object; module; comodule; REGULAR OBJECTS; MODULES;
D O I：
10.1142/S0219498821502327
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce and study (strongly) pi-Rickart objects and their duals in abelian categories, which generalize (strongly) self-Rickart objects and their duals. We establish general properties of such objects, we analyze their behavior with respect to coproducts, and we study classes all of whose objects are (strongly) pi-Rickart. We derive consequences for module and comodule categories.
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页数：15
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