Abstract | ||
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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 Zhou | 1 | 34 | 6.71 |
Bin Zhao | 2 | 45 | 11.71 |