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arXiv · 1709.05872

Rickart and dual Rickart objects in abelian categories: transfer via functors

Septimiu Crivei·Gabriela Olteanu
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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.

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Septimiu Crivei, Gabriela Olteanu. 2017-12-09. Rickart and dual Rickart objects in abelian categories: transfer via functors. https://doi.org/10.1007/s10485-017-9509-8

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