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arXiv · 2201.09930

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

Septimiu Crivei·Derya Keskin Tütüncü·Simona Maria Radu·Rachid Tribak
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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.

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Septimiu Crivei, Derya Keskin Tütüncü, Simona Maria Radu, Rachid Tribak. 2022-01-24. CS-Baer and dual CS-Baer objects in abelian categories. https://arxiv.org/abs/2201.09930

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