Weak relative pseudocomplements in semilattices

Jānis Cīrulis

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Weak relative pseudocomplements in semilattices

机译：Weak relative pseudocomplements in semilattices

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摘要

Weak relative pseudocomplementation on a meet semilattice S is a partial operation * which associates with every pair ( x, y ) of elements, where x ≥ y , an element z (the weak pseudocomplement of x relative to y ) which is the greatest among elements u such that y = u Λ x . The element z coincides with the pseudocomplement of x in the upper section y ) and, if S is modular, with the pseudocomplement of x relative to y . A weakly relatively pseudomented semilattice is said to be extended, if it is equipped with a total binary operation extending *. We study congruence properties of the variety of such semilattices and review some of its subvarieties already described in the literature.

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来源
《Demonstratio Mathematica》 |2013年第4期|651-672|共22页
作者
Jānis Cīrulis;
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作者单位

Faculty of Computing, University of Latvia;

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正文语种英语
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arithmetical; Brouwerian semilattice; congruence distributive; congruence orderable; meet semilattice; relative pseudocomplementation; sectional pseudocomplementation; semi-Brouwerian semilattice; weak relative pseudocomplementation;

Weak relative pseudocomplements in semilattices

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