DOI QR코드

DOI QR Code

SOME FAMILIES OF IDEAL-HOMOGENEOUS POSETS

  • Chae, Gab-Byung ;
  • Cheong, Minseok ;
  • Kim, Sang-Mok
  • Received : 2015.03.20
  • Published : 2016.07.31

Abstract

A partially ordered set P is ideal-homogeneous provided that for any ideals I and J, if $$I{\sim_=}_{\sigma}J$$, then there exists an automorphism ${\sigma}^*$ such that ${\sigma}^*{\mid}_I={\sigma}$. 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 nd some families of ideal-homogeneous partially ordered sets.

Keywords

poset;finite ordered set;homogeneity

References

  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.

Acknowledgement

Supported by : Wonkwang University