Z-abstract Basis

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Dec 2009 English Publisher:Elsevier BVJournal:Electronic Notes in Theoretical Computer Science, volume 257, pages 153-158 (issn: 1571-0661,

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Authors: Yihui Zhou; Bin Zhao;

doi: 10.1016/j.entcs.2009.11.032

Z-abstract Basis

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Abstract

AbstractIn 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 Organizations

Shaanxi Normal University
China (People's Republic of)

Keywords

Z-subset system, Z-continuous poset, Z-abstract basis, Z-basis, Theoretical Computer Science, Computer Science(all)

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