About: Cayley’s and Holland’s Theorems for Idempotent Semirings and Their Applications to Residuated Lattices     Goto   Sponge   NotDistinct   Permalink

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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 on the 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.
  • 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 on the 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. (en)
Title
  • Cayley’s and Holland’s Theorems for Idempotent Semirings and Their Applications to Residuated Lattices
  • Cayley’s and Holland’s Theorems for Idempotent Semirings and Their Applications to Residuated Lattices (en)
skos:prefLabel
  • Cayley’s and Holland’s Theorems for Idempotent Semirings and Their Applications to Residuated Lattices
  • Cayley’s and Holland’s Theorems for Idempotent Semirings and Their Applications to Residuated Lattices (en)
skos:notation
  • RIV/67985807:_____/13:00395570!RIV14-GA0-67985807
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  • I, P(GAP202/11/1632), Z(AV0Z1030915)
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  • RIV/67985807:_____/13:00395570
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  • residuated lattice; idempotent semiring; conucleus; Cayley; Holland; representation theorem (en)
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  • 87
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  • Horčík, Rostislav
  • Galatos, N.
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  • 000327253500005
http://linked.open...n/vavai/riv/zamer
issn
  • 0037-1912
number of pages
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  • 10.1007/s00233-013-9513-8
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