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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

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

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

  • 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