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Algebras with minimal spectrum. (English) Zbl 0437.08001


MSC:

08A05 Structure theory of algebraic structures
08A30 Subalgebras, congruence relations
08A40 Operations and polynomials in algebraic structures, primal algebras
08B15 Lattices of varieties
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References:

[1] G. Birkhoff,Lattice Theory, A.M.S. Coll. Pub. Vol.25, New York, 1967.
[2] B. Caine,A Characterization of Some Equationally Complete Varieties of Quasigroups, preprint.
[3] D. Clark andP. Krauss,Para Primal Algebras, Alg. Univ.6 (1976), 167–194. · Zbl 0368.08004 · doi:10.1007/BF02485828
[4] D. Clark andP. Krauss,Plain Para Primal Algebras, Alg. Univ., to appear. · Zbl 0455.08005
[5] D. Geiger,Coherent Congruences, preprint.
[6] S. Givant,Universal classes categorical or free in power, Univ. of Cal., Berkeley, 1975. · Zbl 0401.03009
[7] G. Grätzer, Universal Algebra, Van Nostrand, Princeton, 1968.
[8] J. Hagemann,Grundlagen der allgemeinen topologischen Algebra, preprint.
[9] B. Jónsson,Algebras Whose Congruence Lattices are Distributive, Math. Scand.21 (1967), 110–121. · Zbl 0167.28401
[10] R. McKenzie,On minimal locally finite varieties with permuting congruence relations, preprint.
[11] R. S. Pierce,Introduction to the Theory of Abstract Algebra, Holt, Rinehart and Winston, New York, 1968. · Zbl 0159.57801
[12] A. Pixley,The Ternary Discriminator Function in Universal Algebra, Math. Ann.191 (1971), 167–180. · doi:10.1007/BF01578706
[13] R. Quackenbush,Equational Classes Generated by Finite Algebras, Alg. Univ.1 (1971), 265–266. · Zbl 0231.08004 · doi:10.1007/BF02944989
[14] R. Quackenbush,Varieties of Steiner Loops and Steiner Quasigroups, Can. J. Math.28 (1976), 1187–1198. · Zbl 0359.20070 · doi:10.4153/CJM-1976-118-1
[15] M. G. Stone,Subalgebra and Automorphism Structure in Universal Algebra: A Concrete Characterization, Acta Sci. Math.33 (1972), 45–48. · Zbl 0239.08010
[16] Walter Taylor,The Fine Spectrum of a Variety, Alg. Univ.5 (1975), 263–303. · Zbl 0336.08004 · doi:10.1007/BF02485261
[17] H. Werner,Congruences on Products of Algebras and Functionally Complete Algebras, Alg. Univ.4 (1974), 99–105. · Zbl 0311.08006 · doi:10.1007/BF02485711
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