Document Zbl 0472.08005

Equational theories with a minority polynomial. (English) Zbl 0472.08005

Proc. Am. Math. Soc. 83, 238-242 (1981).

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MSC:

08B05	Equational logic, Mal’tsev conditions
08A40	Operations and polynomials in algebraic structures, primal algebras

Keywords:

ternary polynomial; minority polynomial; finitely-based variety

Citations:

Zbl 0057.024

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Full Text: DOI

References:

[1]	Kirby A. Baker, Finite equational bases for finite algebras in a congruence-distributive equational class, Advances in Math. 24 (1977), no. 3, 207 – 243. · Zbl 0356.08006 · doi:10.1016/0001-8708(77)90056-1
[2]	Bjarni Jónsson, Algebras whose congruence lattices are distributive, Math. Scand. 21 (1967), 110 – 121 (1968). · Zbl 0167.28401 · doi:10.7146/math.scand.a-10850
[3]	Roger C. Lyndon and Paul E. Schupp, Combinatorial group theory, Springer-Verlag, Berlin-New York, 1977. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 89. · Zbl 0368.20023
[4]	Ralph McKenzie, On spectra, and the negative solution of the decision problem for identities having a finite nontrivial model, J. Symbolic Logic 40 (1975), 186 – 196. · Zbl 0316.02052 · doi:10.2307/2271899
[5]	R. Padmanabhan and R. W. Quackenbush, Equational theories of algebras with distributive congruences, Proc. Amer. Math. Soc. 41 (1973), 373 – 377. · Zbl 0277.08002
[6]	R. Padmanabhan, Equational theory of algebras with a majority polynomial, Algebra Universalis 7 (1977), no. 2, 273 – 275. · Zbl 0383.08005 · doi:10.1007/BF02485437
[7]	A. F. Pixley, Distributivity and permutability of congruence relations in equational classes of algebras, Proc. Amer. Math. Soc. 14 (1963), 105 – 109. · Zbl 0113.24804
[8]	Walter Taylor, Equational logic, Houston J. Math. Survey (1979), iii+83. · Zbl 0421.08004

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