Strongly Rickart objects in abelian categories
Category Theory
2018-03-11 v1 Rings and Algebras
Abstract
We introduce and study (dual) strongly relative Rickart objects in abelian categories. We prove general properties, we analyze the behaviour with respect to (co)products, and we study the transfer via functors. We also give applications to Grothendieck categories, (graded) module categories and comodule categories. Our theory of (dual) strongly relative Rickart objects may be employed in order to study strongly relative regular objects and (dual) strongly relative Baer objects in abelian categories.
Cite
@article{arxiv.1803.01751,
title = {Strongly Rickart objects in abelian categories},
author = {Septimiu Crivei and Gabriela Olteanu},
journal= {arXiv preprint arXiv:1803.01751},
year = {2018}
}
Comments
17 pages. arXiv admin note: text overlap with arXiv:1709.05872, arXiv:1803.02683