PRIME M-IDEALS, M-PRIME SUBMODULES, M-PRIME RADICAL AND M-BAER'S LOWER NILRADICAL OF MODULES
نویسندگان
چکیده
منابع مشابه
Baer's lower nilradical and classical prime submodules
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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15 صفحه اولbaer's lower nilradical and classical prime submodules
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.
متن کاملbaer's lower nilradical and classical prime submodules
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.
متن کاملOn graded classical prime and graded prime submodules
Let $G$ be a group with identity $e.$ Let $R$ be a $G$-graded commutative ring and $M$ a graded $R$-module. In this paper, we introduce several results concerning graded classical prime submodules. For example, we give a characterization of graded classical prime submodules. Also, the relations between graded classical prime and graded prime submodules of $M$ are studied.
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ژورنال
عنوان ژورنال: Journal of the Korean Mathematical Society
سال: 2013
ISSN: 0304-9914
DOI: 10.4134/jkms.2013.50.6.1271