References
Day, R. A.: A characterization of modularity for congruence lattices of algebras. Canadian Math. Bull.12, 167–173 (1969).
Day, R. A.: Injectivity in congruence distributive equational classes. Ph. D. Thesis, McMaster Univ., 1970.
Foster, A. L.: Families of algebras with unique (sub-)direct factorization: Equational characterization of factorization. Math. Ann.166, 302–326 (1966).
—: Automorphisms and functional completeness in universal algebras. I. General automorphisms, Structure theory and characterization. Math. Ann.180, 138–169 (1969).
— Pixley, A. F.: Semi-categorical algebras. I. Semi-primal algebras. Math. Z.83, 147–169 (1964).
——: Semi-categorical algebras. II. Math. Z.85, 169–184 (1964).
Fraser, G., Horn, A.: Congruence relations in direct products. Proc. Amer. Math. Soc.26, 390–394 (1970).
Grätzer, G.: Universal algebra. Princeton, N.J.: D. Van Nostrand Co. 1968.
—: Two Mal'cev-type theorems in universal algebra. J. Combinat. Theory8, 334–342 (1970).
Halmos, P. R.: Algebraic logic. New York: Chelsea Publishing Co. 1962.
Jónsson, B.: Algebras whose congruence lattices are distributive. Math. Scandinav.21, 110–121 (1967).
Mal'cev, A. I.: On the general theory of algebraic systems [Russian]. Mat. Sbornik, N.S.35, (77) 3–20 (1954).
Pixley, A. F.: Distributivity and permutability of congruence relations in equational classes of algebras. Proc. Amer. Math. Soc.14, 105–109 (1963).
—: Functionally complete algebras generating distributive and permutable classes. Math. Z.114, 361–372 (1970).
Pixley, A. F.: The ternary discriminator function in universal algebra. Preprint.
Pixley, A. F.: Local Mal'cev conditions. To appear.
Wille, R.: Kongruenzklassengeometrien. Lecture Notes in Math. 113. Berlin-Heidelberg-New York: Springer 1970.
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Quackenbush, R.W. Demi-semi-primal algebras and Mal'cev-type conditions. Math Z 122, 166–176 (1971). https://doi.org/10.1007/BF01110090
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DOI: https://doi.org/10.1007/BF01110090