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Fundamental congruences on Lawson semilattices

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Part of the Lecture Notes in Mathematics book series (LNM,volume 871)

Keywords

  • Congruence Lattice
  • Continuous Lattice
  • Topological Algebra
  • Kernel Operator
  • Hausdorff Topology

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Bibliography

  1. D. Clinkenbeard, Congruences on Topological Lattices, Dissertation Univ. of Calif., Riverside, 1976.

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  2. G. Gierz, K. H. Hofmann, K. Keimel, J. D. Lawson, M. W. Mislove and D. S. Scott, "A compendium of continuous lattices," Springer Verlag, Berlin, Heidelberg, New York, 1980.

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  3. K. H. Hofmann and M. W. Mislove, "The lattice of kernel operators and topological algebra," Math. Zeit. 154(1977), 175–188.

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  4. K. H. Hofmann, M. W. Mislove and A. R. Stralka, "Dimension raising maps in topological algebra," Math. Zeit. 135(1973), 1–36.

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  5. J. D. Lawson, "Topological semilattices with small semilattices," J. London Math. Soc. (2)1(1969), 719–724.

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  6. K. Numakura, "Theorems on compact totally disconnected semigroups and lattices," Proc. Amer. Math. Soc. 8(1957), 623–626.

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  7. A. R. Stralka, "The congruence extension property for compact topological lattices," Pacific J. Math. 38(1971), 795–802.

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© 1981 Springer-Verlag

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Stralka, A. (1981). Fundamental congruences on Lawson semilattices. In: Banaschewski, B., Hoffmann, RE. (eds) Continuous Lattices. Lecture Notes in Mathematics, vol 871. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089917

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  • DOI: https://doi.org/10.1007/BFb0089917

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10848-1

  • Online ISBN: 978-3-540-38755-8

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