CS-Baer and dual CS-Baer objects in abelian categories
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, vol.22, no.10, 2023 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 22 Issue: 10
- Publication Date: 2023
- Doi Number: 10.1142/s0219498823502201
- Journal Name: JOURNAL OF ALGEBRA AND ITS APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
- Keywords: 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
- Open Archive Collection: AVESIS Open Access Collection
- Hacettepe University Affiliated: Yes
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.