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Order-congruences on s-posets

Xiang-Yun Xie|Xiaoping Shi
대한수학회 (The Korean Mathematical Society)|2005.01|대한수학회논문집 (Communications of the KMS)|제20권 제1호|pp. 1-14

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주제분류수학

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Abstract

The aim of this paper is to study order- congruences on a S-poset A and to characterize the order-congruences by the concepts of pseudooreders on A and quasi-chains module a congru-ence ½. Some homomorphism theorems of S-posets are given which is similar to the one of ordered semigroups. Finally, It is shown that there exists the non-trivial order-congruence on a S-poset by an example.

참고문헌 (8)

  1. "Absolute °atness and amalgrams in pomonoids", 33, pp.15~22 (1986)
  2. "On the category of S-posets", 52, pp.85~92 (1988)
  3. "On subdirectly irreducible ordered semigroups", 50, pp.161~177 (1995)
  4. "Pseudoorder in ordered semigroups", 50, pp.389~392 (1995)
  5. "An Introduction to Ordered Semigroup Theory" (2001), Science Press
  6. "Contributions to theory of congruences on ordered semigroups" (1995), Lanzhou University
  7. "On congruences on ordered semigroups", 45, pp.81~85 (1997)
  8. "S-systems Theory of Semigroups" (1999), Science Press

관련 논문AI추천

Semilattices with an InvolutionIVAN CHAJDA경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2002 · 제42권 제1호Weak dimension and chain-weak dimension of ordered sets김종열, 이재권대한수학회 · 대한수학회보2005 · 제42권 제2호Weak Distributive n-Semilattices and n-Lattices임선주경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제2호Some families of ideal-homogeneous posets김상목, 정민석, 채갑병대한수학회 · 대한수학회보2016 · 제53권 제4호Idempotent Separating Congruences in a Weak P-regular SemigroupA. SETH, M. K. SEN경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2002 · 제42권 제1호On the Left Inversive Semiring Congruences on Additive Regular SemiringsA. K. Bhuniya, M. K. Sen한국수학교육학회 · 이론수학과 교직수학2005 · 제12권 제4호

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