MODULES OVER PRÜFER DOMAINS WHICH SATISFY THE RADICAL FORMULA
نویسندگان
چکیده
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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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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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 2007
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089507003485