• Communications of the Korean Mathematical Society
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• v.18 no.4
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• pp.635-641
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• 2003

The notion of negative difference on a poset is introduced, and the interrelations between FI-algebras and posets with negative difference are discussed.

• Bulletin of the Korean Mathematical Society
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• v.49 no.2
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• pp.373-379
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• 2012

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.

• Bulletin of the Korean Mathematical Society
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• v.53 no.4
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• pp.971-983
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• 2016

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.