Left residuated lattices induced by lattices with a unary oparation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F20%3A73603114" target="_blank" >RIV/61989592:15310/20:73603114 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s00500-019-04461-x" target="_blank" >https://link.springer.com/article/10.1007/s00500-019-04461-x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00500-019-04461-x" target="_blank" >10.1007/s00500-019-04461-x</a>
Alternative languages
Result language
angličtina
Original language name
Left residuated lattices induced by lattices with a unary oparation
Original language description
In a previous paper, the authors defined two binary term operations in orthomodular lattices such that an orthomodular lattice can be organized by means of them into a left residuated lattice. It is a natural question if these operations serve in this way also for more general lattices than the orthomodular ones. In our present paper, we involve two conditions formulated as simple identities in two variables under which this is really the case. Hence, we obtain a variety of lattices with a unary operation which contains exactly those lattices with a unary operation which can be converted into a left residuated lattice by use of the above mentioned operations. It turns out that every lattice in this variety is in fact a bounded one and the unary operation is a complementation. Finally, we use a similar technique by using simpler terms and identities motivated by Boolean algebras.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
<a href="/en/project/GF20-09869L" target="_blank" >GF20-09869L: The many facets of orthomodularity</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
SOFT COMPUTING
ISSN
1432-7643
e-ISSN
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Volume of the periodical
24
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
7
Pages from-to
"723 "- 729
UT code for WoS article
000493720400003
EID of the result in the Scopus database
2-s2.0-85097024235