Research Article

Transfer of CS-Rickart and dual CS-Rickart properties via functors between Abelian categories

Published in: Quaestiones Mathematicae
Volume 45 , issue 7 , 2022 , pages: 993–1011

DOI: 10.2989/16073606.2021.1925990

Author(s): Septimiu Crivei , Romania , Simona Maria Radu , Romania

Keywords: 18E10 , 16D90 , 16T15 , 18E10 , 16D90 , 16T15

Abstract

We study the transfer of (dual) relative CS-Rickart properties via functors between abelian categories. We consider fully faithful functors as well as adjoint pairs of functors. We give several applications to Grothendieck categories and, in particular, to (graded) module and comodule categories.

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