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Congruence relations

  • 1969 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 250)

Keywords

  • Equivalence Relation
  • Finite Subset
  • Universal Algebra
  • Congruence Relation
  • Congruence Lattice

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References for Section 4.1

  1. G. Grätzer and W. A. Lampe: "On subalgebra lattices of universal algebras", J. Alg. 7 (1967), 263–270.

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  2. A. A. Iskander: "The lattice of correspondences of universal algebras (Russian)", Izv. Akad. Nauk SSSR, Ser. Mat. 29 (1965), 1357–1372.

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  2. G. Grätzer: "Two Mal'cev type theorems in universal algebra", J. of Combinatorial Theory 8 (1970), 334

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  3. G. Grätzer and E. T. Schmidt: "Ideals and congruence relations in lattices", Acta Math. Acad. Sci. Hung. 9(1958), 137–175.

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  4. J. Johnson and R. L. Seifert: "A survey of multi-unary algebra", Mimeographed seminar notes, U. C. Berkeley, 1967, 26 pages.

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  5. R. Wille: "Kongruenzklassengeometrien", Habilitationsschrift, Friedrich Wilhelms-Universität zu Bonn.

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Bibliography for Section 4.6.

  1. G. Grätzer, "Universal algebra", Norstrand Co., Inc., 1968, xvi + 368 pages.

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  2. ____, and E. T. Schmidt, "Characterization of congruence lattices of abstract algebras", Acta Sci Math. Szeged 24 (1963), 34–59.

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  4. E. T. Schmidt, Kongruenzrelationen algebraischer Strukturen", Math. Forschungsberichte, 25 (1969), 108 pages.

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  1. J. Hashimoto, "Ideal theory for lattices", Math. Japonicae, 2 (1952), 149–186.

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  2. J. Johnson and R. L. Seifert, "A survey of multi-unary algebra", Mimeographed seminar notes, U. C. Berkeley, 1927, 26 pages.

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  3. D. Pepert, "Congruence relations in semi-lattices", J. London Math. Soc., 39 (1964), 723–729.

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  4. E. T. Schmidt, "Kongruenzrelationen algebraischer Strukturen", Math. Forchungsberichte, 25 (1969), 108 pages.

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© 1972 Springer-Verlag

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Jónsson, B. (1972). Congruence relations. In: Topics in Universal Algebra. Lecture Notes in Mathematics, vol 250. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0058652

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  • DOI: https://doi.org/10.1007/BFb0058652

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