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Journal of Combinatorial Theory Series A
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Journal of Combinatorial Theory Series A
Article . 1971
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Lexicographic orthogonality

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1971 English Publisher:Elsevier BVJournal:Journal of Combinatorial Theory, Series A, volume 11, pages 157-162 (issn: 0097-3165, Copyright policy )
Authors: Foulis, D.J; Randall, C.H;

doi: 10.1016/0097-3165(71)90040-9

Lexicographic orthogonality

Abstract

AbstractWe give a new construction showing how new orthomodular lattices can be built out of old ones by choosing any join dense subset of the given orthomodular lattice and putting a lexicographic orthogonality relation on the free monoid generated by this subset. This construction has relevance to the logic of an empirical science and, in particular, to the logic of quantum mechanics.

Related Organizations
Keywords

Complemented lattices, orthocomplemented lattices and posets, Computational Theory and Mathematics, Free algebras, Discrete Mathematics and Combinatorics, Theoretical Computer Science

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 26
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
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    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
26
Top 10%
Top 10%
Average
hybrid