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Every finite algebra with congruence lattice M 7 has principal congruences

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Universal Algebra and Lattice Theory

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

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Bibliography

  1. Hall, M., "combinatorial Theory", Blaisdell Publishing Company (1967)

    Google Scholar 

  2. Pálfy, P.P., "On Certain Congruence Lattices of Finite Unary Algebras", Commentationes Mathematicae Universitatis Carolinae, 19, 1 (1978), 89–94.

    MathSciNet  MATH  Google Scholar 

  3. Pálfy, P. and P. Pudlák, "Congruence Lattices of finite algebras and intervals in subgroup lattices of finite groups", Algebra Universalis, 11, (1980) 22–27.

    Article  MathSciNet  MATH  Google Scholar 

  4. Power, J., "On the Problem of the Fifteen Schoolgirls", Quarterly Journal of Pure and Applied Math, Vol. 7–8 (1866) p. 236–251.

    Google Scholar 

  5. Pudlák, P., "Distributivity of strongly representable lattices", Algebra Universalis, 7 (1977) 85–92.

    Article  MathSciNet  MATH  Google Scholar 

  6. Pudlák, P., and J. Tuma, "Every finite lattice can be embedded in a finite partition lattice:, Algebra Universalis, 10 (1980) 74–95.

    Article  MathSciNet  MATH  Google Scholar 

  7. Quackenbush, R. and B. Wolk, "Strong representation of congruence lattices", Algebra Universalis, 1 (1971) 165–166.

    Article  MathSciNet  MATH  Google Scholar 

  8. Ray-Chaudhuri, D.K. and R.M. Wilson, "Solution of Kirkman's schoolgirl problem", Combinatorics, A.M.S. Proc. Symp. Pure Math 9 (1971) 187–203.

    Article  MathSciNet  MATH  Google Scholar 

  9. Stone, M.G. and R.H. Weemark, "On representing M n's by congruence Lattices of Finite Algebras". Manuscript submitted to Discrete Mathematics (Dec. 1980).

    Google Scholar 

  10. Street, A.P., and W.D. Wallis, "Combinatorial Theory: An Introduction", Published by CBRC, Winnipeg (1977).

    Google Scholar 

  11. Weedmark, R.H., "Finite Algebraic Partition Lattices", M.Sc. Thesis, University of Calgary, 1980.

    Google Scholar 

  12. Werner, H., "Which partition lattices are congruence lattices?", Coll. Math. Soc. J. Bolyai 14, Lattice Theory, Szeged (Hungary) (1974), 433–453.

    Google Scholar 

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Authors
  1. N. Sauer
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  2. M. G. Stone
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  3. R. H. Weedmark
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Ralph S. Freese Octavio C. Garcia

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© 1983 Springer-Verlag

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Sauer, N., Stone, M.G., Weedmark, R.H. (1983). Every finite algebra with congruence lattice M 7 has principal congruences. 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/BFb0063444

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  • DOI: https://doi.org/10.1007/BFb0063444

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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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