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some remarks concerning multiplication (m,n)-hypermodules
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نویسنده
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anbarloei m.
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منبع
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journal of algebraic hyperstructures and logical algebras - 2024 - دوره : 5 - شماره : 1 - صفحه:123 -141
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چکیده
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the existence link of $n$-ary prime subhypermodules and $n$-ary prime hyperideal in $(m, n)$-hyperrings is investigated by multiplication $(m, n)$-hypermodules. an $(m, n)$-hypermodule $(m, f, g)$ over a commutative krasner $(m,n)$-hyperring$(r, h, k)$ is called a multiplication $(m, n)$-hypermodule if for each subhypermodule $n$ of $m$, there exists a hyperideal $i$ of $r$ such that $n =g(i, 1^{(n-2)}, m)$. here we intend to analyze extensively the multiplication $(m,n)$-hypermodules. we will study primary subhypermodules in context of multiplication $(m, n)$-hypermodules. also, intersections and sums of the multiplication $(m,n)$-hypermodules are investigated.
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کلیدواژه
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primary subhypermodule ,maximal hyperideal ,multiplication(m ,n)-hypermodule
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آدرس
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imam khomeini international university, faculty of sciences, department of mathematics, iran
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پست الکترونیکی
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m.anbarloei@sci.ikiu.ac.ir
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Authors
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