Pacific Journal of Mathematics

Notes on related structures of a universal algebra.

William A. Lampe

Article information

Source
Pacific J. Math., Volume 43, Number 1 (1972), 189-205.

Dates
First available in Project Euclid: 13 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102959654

Mathematical Reviews number (MathSciNet)
MR0316353

Zentralblatt MATH identifier
0256.08005

Subjects
Primary: 08A25

Citation

Lampe, William A. Notes on related structures of a universal algebra. Pacific J. Math. 43 (1972), no. 1, 189--205. https://projecteuclid.org/euclid.pjm/1102959654


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References

  • [1] G. Birkhoff and 0. Frink, Representations of lattices by sets, Trans. Amer. Math. Soc, 64 (1948), 229-316.
  • [2] G. Gratzer, Universal Algebra, D. Van Nostrand Company, Princeton, New Jersey, 1968.
  • [4] G. Gratzer and E. T. Schmidt, Characterizationsof congruence lattices of abstract algebras, Acta. Sci. Math., 24 (1963), 34-59.
  • [5] M. I. Gould arid G. Gratzer, Boolean extensions and normal subdirect powers of finite universal algebras, Math. Z., 99 (1967), 16-25.
  • [6] W. A. Lampe, On Related Structuresof a Universal Algebra, thesis, 1969.
  • [7] W. A. Lampe,On the congruence lattice characterizationtheorem, Trans. Amer. Math. Soc, (to appear).
  • [8] W. A. Lampe, On the independence of certain related structures of a universal algebra, II, Alg. Univ. (to appear).
  • [9] A. F. Pixley, The ternary discrimination function in universal algebra, (to appear).
  • [10] E. T. Schmidt, Universale Algebren mit gegebenen Automorphismengruppenund Kongruenzverbanden,Acta. Math. Acad. Sci. Hungar., 15 (1964), 37-45.
  • [11] E. T. Schmidt,Universale Algebren mit gebebenen Automorphismengruppenund Unter- algebrenverbanden, Acta. Sci. Math., 24 (1963), 251-252.
  • [12] H. Werner, A characterization of functionallycomplete algebras, Notices, Amer. Math. Soc, 17 (1970), 70T-A51.
  • [3] H. Werner,On IIIQ endomorphism semigroup of simple algebras, Math. Annalen, 170 (1967), 334-338.