baer's lower nilradical and classical prime submodules

نویسندگان

e. yılmaz

abant i̇zzet baysal university s. kılıçarslan cansu

istanbul technical university

چکیده

let $n$ be a submodule of a module $m$ and a minimal primary decomposition of $n$ is known‎. ‎a formula to compute baer's lower nilradical of $n$ is given‎. ‎the relations between classical prime submodules and their nilradicals are investigated‎. ‎some situations in which semiprime submodules can be written as finite intersection of classical prime submodule are stated‎.

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Baer's lower nilradical and classical prime submodules

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let $n$ be a submodule of a module $m$ and a minimal primary decomposition of $n$ is known‎. ‎a formula to compute baer's lower nilradical of $n$ is given‎. ‎the relations between classical prime submodules and their nilradicals are investigated‎. ‎some situations in which semiprime submodules can be written as finite intersection of classical prime submodule are stated‎.

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عنوان ژورنال:
bulletin of the iranian mathematical society

جلد ۴۰، شماره ۵، صفحات ۱۲۶۳-۱۲۷۴

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