CS-Baer and dual CS-Baer objects in abelian categories
Autor: | Crivei, Septimiu, Tütüncü, Derya Keskin, Radu, Simona Maria, Tribak, Rachid |
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Rok vydání: | 2022 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | 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. Comment: 24 pages |
Databáze: | arXiv |
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