Cayley?s and Holland?s Theorems for Idempotent Semirings and Their Applications to Residuated Lattices
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F13%3A00395570" target="_blank" >RIV/67985807:_____/13:00395570 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00233-013-9513-8" target="_blank" >http://dx.doi.org/10.1007/s00233-013-9513-8</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00233-013-9513-8" target="_blank" >10.1007/s00233-013-9513-8</a>
Alternative languages
Result language
angličtina
Original language name
Cayley?s and Holland?s Theorems for Idempotent Semirings and Their Applications to Residuated Lattices
Original language description
We extend Cayley?s and Holland?s representation theorems to idempotent semirings and residuated lattices, and provide both functional and relational versions. Our analysis allows for extensions of the results to situations where conditions are imposed onthe order relation of the representing structures. Moreover, we give a new proof of the finite embeddability property for the variety of integral residuated lattices and many of its subvarieties.
Czech name
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Czech description
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Classification
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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Result continuities
Project
<a href="/en/project/GAP202%2F11%2F1632" target="_blank" >GAP202/11/1632: Algebraic Methods in Proof Theory</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Semigroup Forum
ISSN
0037-1912
e-ISSN
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Volume of the periodical
87
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
21
Pages from-to
569-589
UT code for WoS article
000327253500005
EID of the result in the Scopus database
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