Journal of applied mathematics & informatics

  • 제9권1호
  • /
  • Pages.401-413
  • /
  • 2002
  • /
  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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$H_{\upsilon}$-GROUPS WITH WEAK SCALAR ELEMENTS

  • 발행 : 2002.12.01

⟨ 이전 논문 다음 논문 ⟩

초록

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.

키워드

참고문헌

  1. J. Pure Appl. Math. v.10 Hυ-groups on the set {e.a.b.} to appear in Ital. S.C.Chung;B.M.Choi
  2. Korean J. Comput. Appl. Math. On algorithms to compute some Hυ groups J.S.Park;S.C.Chung
  3. Proc. 4th Internet. Congress Algebraic Hyperstructrues and Appl.(AHA) 1990 The fundamental relation in hyterrings. The general hyperfields T.Vougiouklis
  4. Hyperstructures and their representations T.Vougiouklis
  5. Discrete Mathematics v.155 Hυ-groups defined on the same set T.Vougiouklis