• 제목/요약/키워드: Hyperstructure

검색결과 8건 처리시간 0.018초

PRODUCT OF FUZZY ${H_v}-IDEALS$ IN ${H_v}-RINGS$

  • Davvaz, B.
    • Journal of applied mathematics & informatics
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    • 제8권3호
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    • pp.909-917
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    • 2001
  • In this paper we define product between fuzzy ${H_v}-ideals$ of given ${H_v}-rings$. we consider the fundamental relation ${\gamma}^*$ defined on and ${H_v}-ring$ and give some properties of the fundamental relations and fundamental rings with respect to the product of fuzzy ${H_v}-ideals$.

A NOTE ON FUZZY HV-SUBMODULES

  • Davvaz, B.
    • Journal of applied mathematics & informatics
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    • 제11권1_2호
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    • pp.265-271
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    • 2003
  • The purpose of this paper is to present certain results arising from product between fuzzy $H_{v}$-submodules. In particular, we consider the fundamental relation $\varepsilon$* defined on an $H_{v}$-module and give a property of the fundamental relations and fundamental modules with respect to the fuzzy product of $H_{v}$-modules.

$H_{\upsilon}$-GROUPS WITH WEAK SCALAR ELEMENTS

  • Choi, Byung-Mun;Chung, Sang-Cho
    • Journal of applied mathematics & informatics
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    • 제9권1호
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    • pp.401-413
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    • 2002
  • In this paper, we consider hyperstructures (H,.) defined on the set H = {e, a, b}. We study the hyperstructure of H when every element is one of a scalar unit, a unit or a weak scalar. On those conditions the $H_{\upsilon}$-quasigroups are classified. And we obtain the 15 minimal $H_{\upsilon}$-groups and 2 non-quasi $H_{\upsilon}$-semigroups For these we use the Mathematica 3.0 computer programs.