Graded I-second submodules
نویسندگان
چکیده
منابع مشابه
Product of graded submodules
Let Δ be an abelian group. By considering the notion multiplication of Δ-graded modules (see [7]) over a commutative Δ-graded ring with unity, we introduce the notion of product of two Δ-graded submodules which we use to characterize the Δ-graded prime submodules of a multiplication Δ-graded module. Finally we proved a graded version of Nakayama lemma for multiplication Δ-graded modules.
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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: Demonstratio Mathematica
سال: 2021
ISSN: 2391-4661
DOI: 10.1515/dema-2021-0001