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

被引：0
|
作者：
Crivei, Septimiu [1 ]
Tutuncu, Derya Keskin [2 ]
Radu, Simona Maria [1 ]
Tribak, Rachid [3 ]
机构：
[1] Babes Bolyai Univ, Fac Math & Comp Sci, Str M Kogalniceanu 1, Cluj Napoca 400084, Romania
[2] Hacettepe Univ, Dept Math, TR-06800 Ankara, Turkey
[3] Ctr Reg Metiers Educ & Format CRMEF TTH Tanger, Ave My Abdelaziz,BP 3117, Tangier, Morocco
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2023年 / 22卷 / 10期
关键词：
Abelian category; (dual) CS-Baer object; (dual) Baer object; (dual) CS-Rickart object; (dual) Rickart object; extending object; lifting object; module; STRONGLY RICKART OBJECTS; MODULES;
D O I：
10.1142/S0219498823502201
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：30
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