CS-Baer and dual CS-Baer objects in abelian categories
Category Theory
2022-01-26 v1 Rings and Algebras
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.
Keywords
Cite
@article{arxiv.2201.09930,
title = {CS-Baer and dual CS-Baer objects in abelian categories},
author = {Septimiu Crivei and Derya Keskin Tütüncü and Simona Maria Radu and Rachid Tribak},
journal= {arXiv preprint arXiv:2201.09930},
year = {2022}
}
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24 pages