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Endomorphism monoids of bands

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References

  1. M.E. Adams, V. Koubek, J. Sichler: Homorphisms and endomorphisms in varieties of pseudocomplemented distributive lattices (with applications to Heyting algebras), Trans. Amer. Math. Soc., 285(1984), 57–79.

    Article  MATH  MathSciNet  Google Scholar 

  2. M.E. Adams, V. Koubek, J. Sichler: Homomorphisms and endomorphisms of distributive lattices, Houston J. Math. 11(1985), 129–145.

    MATH  MathSciNet  Google Scholar 

  3. A.P. Birjukov: Varieties of idempotent semigroups, Algebra i Logika 9(1970), 255–273 [in Russian].

    MathSciNet  Google Scholar 

  4. A.H. Clifford, G.B. Preston:The Algebraic Theory of Semigroups, AMS, Providence (Vol. 1 1961, vol. 2 1967).

  5. Ch. Fennemore: All varieties of bands, Semigroup Forum 1(1970), 172–179.

  6. J.A. Gerhard: The lattice of equational classes of idempotent semigroups, J. Algebra 15(1970), 195–224.

    Article  MATH  MathSciNet  Google Scholar 

  7. L.M. Gluskin: Semigroups of isotone transformations, Uspekhi Mat. Nauk 16(1961), 157–162 [in Russian].

    MATH  MathSciNet  Google Scholar 

  8. Z. Hedrlín, A. Pultr: On full embeddings of categories of algebras, Illinois J. Math. 10(1966), 392–406.

    MATH  MathSciNet  Google Scholar 

  9. Z. Hedrlín, J. Lambek: How comprehensive is the category of semigroups?, J. of Algebra 11(1969), 421–425.

    Google Scholar 

  10. P. Kohler: Endomorphism semigroups of Brouwerian semilattices, Semigroup Forum 15(1978), 229–234.

    Article  MathSciNet  Google Scholar 

  11. V. Koubek: Infinite image homomorphisms of distributive bounded lattices, Colloq. Math. Soc. Janos Bolyai 43, 241–281, Universal Algebra, Szeged 1983. North Holland, Amsterdam 1985.

    Google Scholar 

  12. V. Koubek, J. Sichler: Universal varieties of semigroups, J. Austral. Math. Soc. (Series A), 36(1984), 143–152.

    MATH  MathSciNet  Google Scholar 

  13. K.D. Magill: The semigroup of endomorphisms of a Boolean ring, J. Austral. Math. Soc. 11(1970), 411–416.

    Article  MATH  MathSciNet  Google Scholar 

  14. R. McKenzie, C. Tsinakis: On recovering a bounded distributive lattice from its endomorphism monoid, Houston J. Math. 7(1981), 525–529.

    MATH  MathSciNet  Google Scholar 

  15. M. Petrich:Introduction to Semigroups, Merill, Columbus 1973.

  16. A. Pultr, J. Sichler: Primitive classes of algebras with two unary idempotent operations containing all algebraic categories as full subcategories, Comment. Math. Univ. Carolinae 10(1969), 425–445.

    MATH  MathSciNet  Google Scholar 

  17. A. Pultr, V. Trnková:Combinatorial, Algebraic and Topological Representations of Groups, Semigroups and Categories, North Holland, Amsterdam 1980.

    MATH  Google Scholar 

  18. P. Ribenboim: Characterization of the sup-complement in a distributive lattices with last element, Summa Brasil. Math. 2(1949), 43–49.

    MathSciNet  Google Scholar 

  19. B.M. Schein: Ordered sets, semilattices, distributive lattices and Boolean algebras with homomorphic endomorphism semigroups, Fund. Math. 68(1970), 31–50.

    MATH  MathSciNet  Google Scholar 

  20. B.M. Schein: Bands with isomorphic endomorphism semigroups, J. Algebra 96(1985), 548–565.

    Article  MATH  MathSciNet  Google Scholar 

  21. C. Tsinakis: Brouwerian semilattices determined by their endomorphism semigroups, Houston J. Math. 5(1979), 427–436.

    MATH  MathSciNet  Google Scholar 

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Communicated by Boris M. Schein

Dedicated to the memory of Evelyn Nelson

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Demlova, M., Koubek, V. Endomorphism monoids of bands. Semigroup Forum 38, 305–329 (1989). https://doi.org/10.1007/BF02573239

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