대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제49권2호
  • /
  • Pages.373-379
  • /
  • 2012
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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SOME HOMOGENEITY CLASSES OF POSETS OF HEIGHT 2

  • Chae, Gab-Byung (Division of Mathematics and Informational Statistics Institute of Natural Basic Sciences Wonkwang University) ;
  • Cheong, Min-Seok (Department of Mathematics Sogang University) ;
  • Kim, Sang-Mok (Department of Mathematics Kwangwoon University)
  • 투고 : 2010.11.08
  • 발행 : 2012.03.31
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초록

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

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참고문헌

  1. G. Behrendt, Homogeneity in finite ordered sets, Order 10 (1993), no. 1, 65-75. https://doi.org/10.1007/BF01108709
  2. B. A. Davey and H. A. Priestley, Introduction to Lattices and Order, Second Edition, Cambridge University Press, 2002.
  3. A. Gardiner, Homogeneity conditions in graphs, J. Combin. Theory Ser. B 24 (1978), no. 3, 301-310. https://doi.org/10.1016/0095-8956(78)90048-5
  4. J. Y. Hyun, in personal communication.
  5. J. H. Schmerl, Countable homogeneous partially ordered sets, Algebra Universalis 9 (1979), no. 3, 317-321. https://doi.org/10.1007/BF02488043
  6. W. T. Trotter, Combinatorics and Partially Ordered sets: Dimension theory, The Johns Hopkins University Press, 1992.