On a new construction of pseudo BL-algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F15%3A33151123" target="_blank" >RIV/61989592:15310/15:33151123 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0165011414004618" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0165011414004618</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2014.10.014" target="_blank" >10.1016/j.fss.2014.10.014</a>

Result language
angličtina
Original language name
On a new construction of pseudo BL-algebras
Original language description
We present a new construction of a class of pseudo BL-algebras, called kite pseudo BL-algebras. We start with a basic pseudo hoop. Using two injective mappings from one set into the second one, and an identical copy of the basic pseudo hoop with the reverse order we construct a pseudo BL-algebra. We show that such a structure is a pseudo BL-algebra iff the basic pseudo hoop is cancellative. Starting with a commutative hoop we can obtain even a non-commutative pseudo BL-algebra or a pseudo MV-algebra, oran algebra with non-commuting negations. We describe the construction, subdirect irreducible kite pseudo BL-algebras and their classification.
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
<a href="/en/project/EE2.3.20.0051" target="_blank" >EE2.3.20.0051: Algebraic methods in Quantum Logic</a><br>
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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