[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.b150204

SOME FAMILIES OF IDEAL-HOMOGENEOUS POSETS

Chae, Gab-Byung (Division of Mathematics and Informational Statistics Wonkwang University)
Cheong, Minseok (College of Information Information Security Convergence Korea University)
Kim, Sang-Mok (Department of Mathematics Kwangwoon University)

Publication Information

Bulletin of the Korean Mathematical Society / v.53, no.4, 2016 , pp. 971-983 More about this Journal

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;

Citations & Related Records

Reference

1	G. Behrendt, Homogeneity in Finite Ordered Sets, Order 10 (1993), no. 1, 65-75. DOI
2	B. A. Davey and H. A. Priestley, Introduction to Lattices and Order, Second edition, Cambridge University Press, 2002.