Bulletin of the
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Bull. Korean Math. Soc. 2012; 49(2): 373-379

Printed March 1, 2012

https://doi.org/10.4134/BKMS.2012.49.2.373

Copyright © The Korean Mathematical Society.

Some homogeneity classes of posets of height 2

Gab-Byung Chae, Minseok Cheong, and Sang-Mok Kim

Wonkwang University, Sogang University, Kwangwoon University

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.

Keywords: ideal-homogeneous, tower-homogeneous, quasi-complement-preserved poset, complement-preserved poset

MSC numbers: 06A07

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