On radical formula and Prufer domains
نویسندگان
چکیده مقاله:
In this paper we characterize the radical of an arbitrary submodule $N$ of a finitely generated free module $F$ over a commutatitve ring $R$ with identity. Also we study submodules of $F$ which satisfy the radical formula. Finally we derive necessary and sufficient conditions for $R$ to be a Pr$ddot{mbox{u}}$fer domain, in terms of the radical of a cyclic submodule in $Rbigoplus R$.
منابع مشابه
on radical formula and prufer domains
in this paper we characterize the radical of an arbitrary submodule $n$ of a finitely generated free module $f$ over a commutatitve ring $r$ with identity. also we study submodules of $f$ which satisfy the radical formula. finally we derive necessary and sufficient conditions for $r$ to be a pr$ddot{mbox{u}}$fer domain, in terms of the radical of a cyclic submodule in $rbigopl...
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عنوان ژورنال
دوره 42 شماره 3
صفحات 555- 563
تاریخ انتشار 2016-06-01
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