• 제목/요약/키워드: weak scalar element

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$H_{\upsilon}$-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.