아이디얼 동형성질을 갖는 부분순서집합의 분류

Abstract

Partially ordered sets have been of interest and have had important applications in many areas including combinatorics and coding theory. It is very difficult to classfy the posets which are not isomorphic. In the thesis, we introduce an ideal of poset, and define an ideal isomorphic properties in posets. We give a necessary condition for posets to admit an ideal isomorphic property. Finally we classify all the posets which admit a strong ideal isomorphic property.