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SOME HOMOGENEITY CLASSES OF POSETS OF HEIGHT 2

채갑병|정민석|김상목
대한수학회 (The Korean Mathematical Society)|2012.03|대한수학회보 (Bulletin of the KMS)|제49권 제2호|pp. 373-379

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참고문헌

키워드

ideal-homogeneoustower-homogeneousquasi-complement-preserved posetcomplement-preserved poset
주제분류수학

초록

In this paper, we find the inclusion relation among four categories of posets,i.e., ideal-homogeneous, tower-homogeneous, quasi-com\-plement-preserved, and complement-preserved posets.

Abstract

In this paper, we find the inclusion relation among four categories of posets,i.e., ideal-homogeneous, tower-homogeneous, quasi-com\-plement-preserved, and complement-preserved posets.

참고문헌 (6)

  1. G. Behrendt, "Homogeneity in finite ordered sets", Order, 10(1), pp.65~75 (1993)
  2. B. A. Davey, "Introduction to Lattices and Order, Second Edition" (2002), Cambridge University Press
  3. A. Gardiner, "Homogeneity conditions in graphs", J. Combin. Theory Ser. B, 24(3), pp.301~310 (1978)
  4. J. Y. Hyun, "in personal communication", ~
  5. J. H. Schmerl, "Countable homogeneous partially ordered sets", Algebra Universalis, 9(3), pp.317~321 (1979)
  6. W. T. Trotter, "Combinatorics and Partially Ordered sets: Dimension theory" (1992), The Johns Hopkins University Press

관련 논문AI추천

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