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Skew Difference Algebras

Ivan Chajda
경북대학교 자연과학대학 수학과|2010.03|Kyungpook Mathematical Journal|제50권 제1호|pp. 81-87

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키워드

difference algebraskew difference algebrasectional mappingsectional switching involutioncommutative directoid
주제분류수학

초록

We modify the definition of difference algebra given by J. Meng to obtain a structure which is a directoid with sectional switching involutions with respect to the given partial order. Moreover, we show that this is a representation of our skew difference algebras because every such directoid can be converted into a skew difference algebra.

Abstract

We modify the definition of difference algebra given by J. Meng to obtain a structure which is a directoid with sectional switching involutions with respect to the given partial order. Moreover, we show that this is a representation of our skew difference algebras because every such directoid can be converted into a skew difference algebra.

참고문헌 (6)

  1. Sun Shin Ahn, "Remarks on ＂Representable DifferenceAlgebras＂", Kyungpook Mathematical Journal, 46(3), pp.433~436 (2006), 경북대학교 자연과학대학 수학과
  2. Ivan Chajda, "Representable Difference Algebras", Kyungpook Mathematical Journal, 44(3), pp.335~342 (2004), 경북대학교 자연과학대학 수학과
  3. Chajda I., "Distributive lattices with sectionally antitone involutions", Acta Sci. Math., 71, pp.19~33 (2005)
  4. Jeˇzek J., "Directoids: algebraic models of up-directed sets", Algebra Universalis, 27, pp.49~69 (1990)
  5. Meng J., "Difference algebras", Selected Papers on BCK- and BCI-algebras, 1, pp.33~39 (1992)
  6. Eun Hwan Roh, "On Difference Algebras", Kyungpook Mathematical Journal, 43(3), pp.407~414 (2003), 경북대학교 자연과학대학 수학과

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