• Title of article

    Some remarks concerning multiplication (m,n)-hypermodules‎

  • Author/Authors

    Anbarloei ، M. Department of Mathematics - Faculty of Sciences - Imam Khomeini International University

  • From page
    123
  • To page
    141
  • Abstract
    ‎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.
  • Keywords
    Primary subhypermodule , maximal hyperideal , multiplication (m , n) , hypermodule
  • Journal title
    Journal of Algebraic Hyperstructures and Logical Algebras
  • Journal title
    Journal of Algebraic Hyperstructures and Logical Algebras
  • Record number

    2778559