Strongly CS-Rickart and dual strongly CS-Rickart objects in abelian categories
Category Theory
2021-04-09 v1 Rings and Algebras
Abstract
We introduce (dual) strongly relative CS-Rickart objects in abelian categories, as common generalizations of (dual) strongly relative Rickart objects and strongly extending (lifting) objects. We give general properties, and we study direct summands, (co)products of (dual) strongly relative CS-Rickart objects and classes all of whose objects are (dual) strongly self-CS-Rickart.
Keywords
Cite
@article{arxiv.2104.03832,
title = {Strongly CS-Rickart and dual strongly CS-Rickart objects in abelian categories},
author = {Septimu Crivei and Simona Maria Radu},
journal= {arXiv preprint arXiv:2104.03832},
year = {2021}
}
Comments
15 pages. arXiv admin note: text overlap with arXiv:2007.11059