Quasi Regular Modules and Trivial Extension
نویسندگان
چکیده
Recall that a ring $R\ $is said to be quasi regular if its total quotient $q(R)\ \textit{von Neumann regular}. It is well known and only it reduced satisfying the property: for each $a\in R,$ $ann_{R}(ann_{R}(a))=ann_{R}(b)$ some $b\in R$. Here, in this study, we extend notion of rings which satisfy aforementioned property modules. We give many characterizations properties these two classes Moreover, investigate (weak) trivial extension.
منابع مشابه
Jordan derivation on trivial extension
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ژورنال
عنوان ژورنال: Hacettepe journal of mathematics and statistics
سال: 2021
ISSN: ['1303-5010']
DOI: https://doi.org/10.15672/hujms.613404