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Minimal, locally-finite varieties that are not finitely axiomatizable. (English) Zbl 0426.08003

MSC:
08B05 Equational logic, Mal’tsev conditions
08A30 Subalgebras, congruence relations
03G10 Logical aspects of lattices and related structures
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References:
[1] K. Baker,Finite equational bases for finite algebras in a congruence-distributive equational class. Advances in Math.,24 (1977), 207–243. · Zbl 0356.08006
[2] G. Grätzer,Universal algebra, D. Van Nostrand Co., Inc., Princeton, New Jersey, xvi+368 pp.
[3] B. Jónsson andE. Nelson,Relatively free products in regular varieties. Algebra Universalis4 (1974), 14–19. · Zbl 0319.08002
[4] R. McKenzie,On minimal, locally finite varieties with permuting congruence relations. To appear.
[5] V. L. Murskiï,The existence in the three-valued logic of a closed class with a finite basis having no finite complete system of identities (in Russian). Dokl. Akad. Nauk. SSSR163 (1965), 815–818.
[6] D. Pigozzi,Finite groupoids without finite bases for their identities. To appear. · Zbl 0475.08005
[7] A. F. Pixley,The ternary discriminator function in universal algebra. Math. Ann.191 (1971), 167–180. · Zbl 0208.02702
[8] J. Plonka,On a method of construction of abstract algebras. Fund. Math.61 (1967), 183–189.
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