Rickart and dual Rickart objects in abelian categories: transfer via functors
Category Theory
2017-12-12 v2
Abstract
We study the transfer of (dual) relative Rickart properties via functors between abelian categories, and we deduce the transfer of (dual) relative Baer property. We also give applications to Grothendieck categories, comodule categories and (graded) module categories, with emphasis on endomorphism rings.
Keywords
Cite
@article{arxiv.1709.05872,
title = {Rickart and dual Rickart objects in abelian categories: transfer via functors},
author = {Septimiu Crivei and Gabriela Olteanu},
journal= {arXiv preprint arXiv:1709.05872},
year = {2017}
}
Comments
15 pages