Title
Z-abstract Basis
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.
Year
DOI
Venue
2009
10.1016/j.entcs.2009.11.032
Electronic Notes in Theoretical Computer Science (ENTCS)
Keywords
Field
DocType
z-abstract basis,union-complete subset system,z -continuous poset,z -abstract basis,z -subset system,z -basis,rounded z-ideal completion,z-continuous poset
Discrete mathematics,Combinatorics,Graded poset,Isomorphism,Mathematics,Partially ordered set
Journal
Volume
Citations 
PageRank 
257,
0
0.34
References 
Authors
2
2
Name
Order
Citations
PageRank
Yihui Zhou1346.71
Bin Zhao24511.71