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   some remarks concerning multiplication (m,n)-hypermodules‎  
   
نویسنده anbarloei m.
منبع journal of algebraic hyperstructures and logical algebras - 2024 - دوره : 5 - شماره : 1 - صفحه:123 -141
چکیده    ‎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.
کلیدواژه primary subhypermodule ,maximal hyperideal ,multiplication(m ,n)-hypermodule
آدرس imam khomeini international university, faculty of sciences, department of mathematics, iran
پست الکترونیکی m.anbarloei@sci.ikiu.ac.ir
 
     
   
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