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SOME FAMILIES OF IDEAL-HOMOGENEOUS POSETS
- Authors
- Chae, Gab-Byung; Cheong, Minseok; Kim, Sang-Mok
- Issue Date
- 7월-2016
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- poset; finite ordered set; homogeneity
- Citation
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.53, no.4, pp.971 - 983
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 53
- Number
- 4
- Start Page
- 971
- End Page
- 983
- ISSN
- 1015-8634
- Abstract
- A partially ordered set P is ideal-homogeneous provided that for any ideals I and J, if I congruent to(sigma) J, then there exists an auto morphism sigma* such that sigma*vertical bar(I) = sigma. Behrendt [1] characterizes the ideal-homogeneous partially ordered sets of height 1. In this paper, we characterize the ideal homogeneous partially ordered sets of height 2 and find some families of ideal- homogeneous partially ordered sets.
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