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Algebras of functions from partially ordered sets into distributive lattices

Part of the Lecture Notes in Mathematics book series (LNM,volume 1004)

Keywords

  • Distributive Lattice
  • Product Class
  • Element Lattice
  • Semigroup Ring
  • Finite Distributive Lattice

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References

  1. B. H. Arnold, Distributive lattices with a third operation defined, Pac. J. Math., 1(1951), 33–41.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. J. Jakubík, M. Kolibiar, Lattices with a third distributive operation, Math. Slovaca, 27(1977), 287–292.

    MathSciNet  MATH  Google Scholar 

  3. B. Jónsson, Arithmetic of ordered sets, in Ordered Sets, ed. I. Rival, D. Reidel Publ. Company, Dodrecht, 1982.

    Google Scholar 

  4. A. I. mal'cev, The methamathematics of algebraic systems, Colleted papers, 1936–1967, Studies in Logic and the Foundations of Mathematics, Vol. 66, North-Holland Publishing Co., Amsterdam-London, 1971.

    Google Scholar 

  5. A. Romanowska, On distributivity of bisemilattices with one distributive law, Colloq. Math. Soc. Janos Bolyai, Vol. 29, Universal Algebra, Esztergom (Hungary), 1977, 653–661.

    Google Scholar 

  6. A. Romanowska, Subdirectly irreducible.-distributive bisemilattices, I, Demonstr. Math., 13(1980), 767–785.

    MathSciNet  MATH  Google Scholar 

  7. A. Romanowska, J. D. H. Smith, Bisemilattices of subsemilattices, J. Algebra, 70(1981), 78–88.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. A. Romanowska, J. D. H. Smith, On the structure of subalgebra systems of idempotent entropic algebras, preprint.

    Google Scholar 

  9. I. G. Rosenberg, A generalisation of semigroup rings, preprint.

    Google Scholar 

  10. I. G. Rosenberg, a letter to J. D. H. Smith.

    Google Scholar 

  11. O. Steinfeld, Some remarks on algebraic groupoid-lattices, Colloq. Math. Soc. Janos Bolyai, Vol. 14, Lattice Theory, Szeged (Hungary), 1974, 413–420.

    MathSciNet  Google Scholar 

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© 1983 Springer-Verlag

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Romanowska, A. (1983). Algebras of functions from partially ordered sets into distributive lattices. In: Freese, R.S., Garcia, O.C. (eds) Universal Algebra and Lattice Theory. Lecture Notes in Mathematics, vol 1004. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063442

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  • DOI: https://doi.org/10.1007/BFb0063442

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12329-3

  • Online ISBN: 978-3-540-40954-0

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