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The independence of certain related structures of a universal algebra, iv

The triple is independent

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References

  1. G. Birkhoff,On groups of automorphisms (Spanish), Rev. Un. Math. Argentina11 (1946), 155–157.

    MATH  MathSciNet  Google Scholar 

  2. G. Birkhoff and O. Frink,Representations of lattices by sets, Trans. Amer Math. Soc.64 (1948), 299–316.

    Article  MATH  MathSciNet  Google Scholar 

  3. G. Grätzer,Universal Algebra (D. Van Nostrand Company, Princeton, New Jersey, 1968).

    MATH  Google Scholar 

  4. G. Grätzer,On the endomorphism semigroup of simple algebras, Math. Ann.170 (1967), 334–338.

    Article  MATH  MathSciNet  Google Scholar 

  5. G. Grätzer and W. A. Lampe,On subalgebra lattices of universal Algebras, J. Algebra7 (1967), 263–270.

    Article  MATH  MathSciNet  Google Scholar 

  6. G. Grätzer and E. T. Schmidt,On inaccessible and minimal congruence relations I, Acta. Sci. Math. (Szeged)21 (1960), 337–342.

    MATH  MathSciNet  Google Scholar 

  7. G. Grätzer and E. T. Schmidt,Characterizations of congruence lattices of abstract algebras, Acta. Sci Math. (Szeged)24 (1963), 34–59.

    MATH  MathSciNet  Google Scholar 

  8. M. Gould,Multiplicity type and subalgebra structure in universal algebras, Pacific J. Math.26 (1968), 469–485.

    MATH  MathSciNet  Google Scholar 

  9. M. Gould and C. R. Platt,Versatile monoids and versatile categories, Alg. Univ.1 (1971), 54–62.

    Article  MATH  MathSciNet  Google Scholar 

  10. A. A. Iskander,The Lattice of correspondences of universal algebras (Russian), Izv. Akad. Nauk S.S.S.R., Ser. Mat.29 (1965), 1357–1372.

    MATH  MathSciNet  Google Scholar 

  11. W. A. Lampe,On related structures of a universal algebra, Thesis, Pennsylvania State University (March 1969).

  12. W. A. Lampe,Notes on related structures of a universal algebra, Pacific J. Math.43 (1972), 189–205.

    MATH  MathSciNet  Google Scholar 

  13. W. A. Lampe,Subalgebra lattices of unary algebras and an axiom of choice (to appear).

  14. W. A. Lampe,On the congruence lattice characterization theorem, Trans. Amer. Math. Soc. (to appear).

  15. W. A. Lampe,The independence of certain related structures of a universal algebra, I. Partial algebras with useless operations and other lemmas, Alg. Univ. (to appear).

  16. W. A. Lampe,The independence of certain related structures of a universal algebra, II. The automorphism group and congruence lattice are independent, Alg. Univ. (to appear).

  17. W. A. Lampe,The independence of certain related structures of a universal algebra, III. The subalgebra lattice and the congruence lattice are independent, Alg. Univ. (to appear).

  18. W. A. Lampe,On the independence of certain related structures of a universal algebra, IV. The automorphism group, subalgebra lattice, and congruence lattice are independent, Abstract 691-08-3, Notices Amer. Math. Soc.19 (1972), A-44.

    Google Scholar 

  19. M. Makkai,Solution of a problem of G. Grätzer concerning endomorphism semigroups, Acta. Math. Sci. Hungar.15 (1964), 297–307.

    Article  MATH  MathSciNet  Google Scholar 

  20. C. R. Platt,A note on endomorphism semigroups, Canad. Math. Bull.13 (1970), 47–48.

    MATH  MathSciNet  Google Scholar 

  21. E. T. Schmidt,Universale Algebren mit gegebenen Automorphismengruppen und Unteralgebrenverbänden, Acta. Sci. Math. (Szeged)24 (1963), 251–254.

    MATH  MathSciNet  Google Scholar 

  22. E. T. Schmidt,Universale Algebren mit gegebenen Automorphismengruppen und Kongruenzverbänden, Acta. Math Acad. Sci. Hungar.15 (1964), 37–45.

    Article  MATH  MathSciNet  Google Scholar 

  23. E. T. Schmidt,Kongruenzrelationen algebraischer Strukturen (Veb Deutscher Verlag der Wissenschaften, Berlin, 1969).

    MATH  Google Scholar 

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Authors and Affiliations

  1. University of Colorado, Boulder, Colorado, USA

    W. A. Lampe

  2. Department of Mathematics, University of Hawaii, Honolulu, Hawaii, USA

    W. A. Lampe

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  1. W. A. Lampe
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Lampe, W.A. The independence of certain related structures of a universal algebra, iv. Algebra Univ. 2, 296–302 (1972). https://doi.org/10.1007/BF02945040

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