Filters on Some Classes of Quantum B-Algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F15%3A33156852" target="_blank" >RIV/61989592:15310/15:33156852 - isvavai.cz</a>
Alternative codes found
RIV/00216224:14310/15:00081312
Result on the web
<a href="http://link.springer.com/article/10.1007%2Fs10773-015-2608-0" target="_blank" >http://link.springer.com/article/10.1007%2Fs10773-015-2608-0</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10773-015-2608-0" target="_blank" >10.1007/s10773-015-2608-0</a>

Result language
angličtina
Original language name
Filters on Some Classes of Quantum B-Algebras
Original language description
In this paper, we continue the study of quantum B-algebras with emphasis on filters on integral quantum B-algebras. We then study filters in the setting of pseudo-hoops. First, we establish an embedding of a cartesion product of polars of a pseudo-hoop into itself. Second, we give sufficient conditions for a pseudohoop to be subdirectly reducible. We also extend the result of Kondo and Turunen to the setting of noncommutative residuated a-semilattices that, if prime filters and a-prime filters of a residuated a-semilattice A coincide, then A must be a pseudo MTL-algebra.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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