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graded semiprime submodules over non-commutative graded rings
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نویسنده
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ghiasvand p. ,farzalipour f.
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منبع
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journal of algebraic systems - 2022 - دوره : 10 - شماره : 1 - صفحه:95 -110
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چکیده
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Let g be a group with identity e, r be an associative graded ring and m be a g-graded r-module. in this article, we introduce the concept of graded semiprime submodules over non-commutative graded rings. first, we study graded prime rmodules over non-commutative graded rings and we get some properties of such graded modules. second, we study graded semiprime and graded radical submodules of graded r-modules. for example, we give some equivalent conditions for a graded module to have zero graded radical submodule.
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کلیدواژه
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graded prime module ,graded radical submodule ,graded semiprime submodule
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آدرس
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payame noor university, department of mathematics, iran, payame noor university, department of mathematics, iran
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پست الکترونیکی
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f_farzalipour@pnu.ac.ir
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Authors
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