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Z-abstract Basis
Author(s) -
Yihui Zhou,
Bin Zhao
Publication year - 2009
Publication title -
electronic notes in theoretical computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.242
H-Index - 60
ISSN - 1571-0661
DOI - 10.1016/j.entcs.2009.11.032
Subject(s) - partially ordered set , basis (linear algebra) , mathematics , ideal (ethics) , combinatorics , standard basis , relation (database) , discrete mathematics , pure mathematics , computer science , geometry , epistemology , philosophy , data mining
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

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