Transfer of CS-Rickart and dual CS-Rickart properties via functors between Abelian categories
نویسندگان
چکیده
We study the transfer of (dual) relative CS-Rickart properties via functors between abelian categories. consider fully faithful as well adjoint pairs functors. give several applications to Grothendieck categories and, in particular, (graded) module and comodule
منابع مشابه
T-dual Rickart modules
We introduce the notions of T-dual Rickart and strongly T-dual Rickart modules. We provide several characterizations and investigate properties of each of these concepts. It is shown that every free (resp. finitely generated free) $R$-module is T-dual Rickart if and only if $overline{Z}^2(R)$ is a direct summand of $R$ and End$(overline{Z}^2(R))$ is a semisimple (resp. regular) ring. It is sho...
متن کاملt-dual rickart modules
we introduce the notions of t-dual rickart and strongly t-dual rickart modules. we provide several characterizations and investigate properties of each of these concepts. it is shown that every free (resp. finitely generated free) $r$-module is t-dual rickart if and only if $overline{z}^2(r)$ is a direct summand of $r$ and end$(overline{z}^2(r))$ is a semisimple (resp. regular) ring. it is sho...
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ژورنال
عنوان ژورنال: Quaestiones Mathematicae
سال: 2021
ISSN: ['1727-933X', '1607-3606']
DOI: https://doi.org/10.2989/16073606.2021.1925990