Article ID Journal Published Year Pages File Type
423418 Electronic Notes in Theoretical Computer Science 2009 6 Pages PDF
Abstract

In this paper, the notion of a Z-abstract basis is defined and its properties are discussed. It is proved that for a union-complete subset system, the basis of a Z-continuous poset, with the restricted ≪Z-relation, is a Z-abstract basis and the rounded Z-ideal completion of the Z-abstract basis is isomorphic to the Z-continuous poset. Conversely, the rounded Z-ideal completion of a Z-abstract basis is a Z-continuous poset.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics