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Gleichungsdefinierbare Klassen partieller Algebren

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Literatur

  1. Baumann, V., Pfanzagl, J.: The closure operator in partial algebras with distributive operations. Applications to set algebra, measure theory and linear spaces. Math. Z.92, 416–424 (1966).

    Google Scholar 

  2. Birkhoff, G.: On the structure of abstract algebras. Proc. Cambridge Phil. Soc.31, 433–454 (1935).

    Google Scholar 

  3. Burmeister, P.: Freie partielle Algebren und primitive Klassen partieller Algebren. Vortrag. Tagung über universelle und kategorische Algebra. Oberwolfach. 3. 7.–10. 7. 1968. (Ausgearbeitet in zwei Teilen: Free partial algebras. J. reine angew. Math. demnächst, und: Primitive classes of partial algebras. In Vorbereitung.)

  4. ——, Schmidt, J.: On the completion of partial algebras. Colloquium Math.17, 235–245 (1967).

    Google Scholar 

  5. Diener, K.-H.: Zur Theorie der absolut freien und verwandter Algebren. Dissertation. Köln 1963.

    Google Scholar 

  6. ——: Order in absolutely free and related algebras. Colloquium Math.14, 63–72 (1966).

    Google Scholar 

  7. Felscher, W.: Adjungierte Funktoren und primitive Klassen. Sitzungsber. d. Heidelberger Akad. d. Wiss. Math.-nat. Klasse1965, No.4.

  8. Grätzer, G.: Universal algebra. Manuskript 1966 (als Buch erschienen: Van Nostrand 1968).

  9. Kerkhoff, R.: Eine Konstruktion absolut freier Algebren. Math. Ann.158, 109–112 (1965).

    Google Scholar 

  10. Malcev, A.: On the immersion of an algebraic ring into a field. Math. Ann.113, 686–691 (1937).

    Google Scholar 

  11. Schmidt, Jürgen: Algebraic operations and algebraic independence in algebras with infinitary operations. Math. Japonicae6, 77–112 (1962).

    Google Scholar 

  12. —— Die überinvarianten und verwandte Kongruenzrelationen einer allgemeinen Algebra. Math. Ann.158, 131–157 (1965).

    Google Scholar 

  13. —— A general existence theorem on partial algebras and its special cases. Colloquium Math.14, 73–87 (1966).

    Google Scholar 

  14. -- Allgemeine Algebra. Vorlesungsausarbeitung. Bonn 1966.

  15. —— Direct sums of partial algebras and final algebraic structures. Canadian J. Math.20, 872–887 (1968).

    Google Scholar 

  16. Słomiński, J.: The theory of abstract algebras with infinitary operations. Rozprawy Matematyczne18 (1959).

  17. -- A theory of extensions of quasi-algebras to algebras. Rozprawy Matematyczne40 (1964).

  18. —— A theory ofP-homomorphisms. Colloquium Math.14, 135–162 (1966).

    Google Scholar 

  19. -- Peano-algebras and quasi-algebras. Dissertationes Math. (Rozprawy Mat.)57 (1968).

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Kerkhoff, R. Gleichungsdefinierbare Klassen partieller Algebren. Math. Ann. 185, 112–133 (1970). https://doi.org/10.1007/BF01359700

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