Skew residuated lattices

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F13%3A33145165" target="_blank" >RIV/61989592:15310/13:33145165 - isvavai.cz</a>
Výsledek na webu
<a href="http://dx.doi.org/10.1016/j.fss.2012.11.019" target="_blank" >http://dx.doi.org/10.1016/j.fss.2012.11.019</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2012.11.019" target="_blank" >10.1016/j.fss.2012.11.019</a>

Jazyk výsledku
angličtina
Název v původním jazyce
Skew residuated lattices
Popis výsledku v původním jazyce
We replace the so-called adjointness in the definition of residuated lattice by its strict version where inequalities are replaced by equalities. We prove that such structures, called skew residuated lattices, can be characterized as lattices with certain involutions in principal filters. Since skew residuated lattices have the cancellation property, they are close to divisibility loops introduced by B. Bosbach in 1988. We show under what condition can skew residuated lattices be represented by such loops.
Název v anglickém jazyce
Skew residuated lattices
Popis výsledku anglicky
We replace the so-called adjointness in the definition of residuated lattice by its strict version where inequalities are replaced by equalities. We prove that such structures, called skew residuated lattices, can be characterized as lattices with certain involutions in principal filters. Since skew residuated lattices have the cancellation property, they are close to divisibility loops introduced by B. Bosbach in 1988. We show under what condition can skew residuated lattices be represented by such loops.

Druh
J<sub>x</sub> - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
CEP obor
BA - Obecná matematika
OECD FORD obor
—

Rok uplatnění
2013
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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