About: Direct product factors in GMV-algebras     Goto   Sponge   NotDistinct   Permalink

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  • GMV-algebras are non-commutative generalizations of MV-algebras and by A. Dvurečenskij they can be represented as intervals of unital lattice oredered groups. Moreover, they are polynomially equivalent to dually residuated l-monoids (DRl-monoids) from a certain variety of DRl-monoids. In the paper, using these correspondences, direct products factors in GMV-algebras are inbtroduced and studied and the lattices of direct factors are described. Further, the polars of projectable GMV-algebras are described.
  • GMV-algebras are non-commutative generalizations of MV-algebras and by A. Dvurečenskij they can be represented as intervals of unital lattice oredered groups. Moreover, they are polynomially equivalent to dually residuated l-monoids (DRl-monoids) from a certain variety of DRl-monoids. In the paper, using these correspondences, direct products factors in GMV-algebras are inbtroduced and studied and the lattices of direct factors are described. Further, the polars of projectable GMV-algebras are described. (en)
Title
  • Direct product factors in GMV-algebras
  • Direct product factors in GMV-algebras (en)
skos:prefLabel
  • Direct product factors in GMV-algebras
  • Direct product factors in GMV-algebras (en)
skos:notation
  • RIV/61989100:27510/05:00012711!RIV10-MSM-27510___
http://linked.open...avai/riv/aktivita
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  • V, Z(MSM 153100011)
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  • 4
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  • 518209
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  • RIV/61989100:27510/05:00012711
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  • algebras of multivalued logics (en)
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  • SK - Slovenská republika
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  • [FCC99EBF6C2D]
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  • Mathematica Slovaca
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  • 55
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  • Rachůnek, Jiří
  • Šalounová, Dana
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  • 0139-9918
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  • 27510
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