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Transfer of CS-Rickart and dual CS-Rickart properties via functors between Abelian categories
Quaestiones Mathematicae ( IF 0.6 ) Pub Date : 2021-06-15 , DOI: 10.2989/16073606.2021.1925990
Septimiu Crivei 1 , Simona Maria Radu 2
Affiliation  

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.



中文翻译:

通过阿贝尔类别之间的函子转移 CS-Rickart 和双 CS-Rickart 属性

摘要

我们通过阿贝尔类别之间的函子研究(对偶)相对 CS-Rickart 属性的转移。我们考虑完全忠实的函子以及伴随的函子对。我们给格洛腾迪克范畴,特别是(分级)模和共模范畴提供了几个应用。

更新日期:2021-06-15
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