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McKenzie, Ralph

Para primal varieties: A study of finite axiomatizability and definable principal congruences in locally finite varieties. (English) Zbl 0383.08008

Algebra Univers. 8, 336-348 (1978).
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Cited in 3 Reviews
Cited in 53 Documents

MSC:

08B05 Equational logic, Mal’tsev conditions
08C10 Axiomatic model classes
08A30 Subalgebras, congruence relations
08A40 Operations and polynomials in algebraic structures, primal algebras
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\textit{R. McKenzie}, Algebra Univers. 8, 336--348 (1978; Zbl 0383.08008)
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References:

[1] J. T. Baldwin andJ. Berman,The number of subdirectly irreducible algebras in a variety, preprint. · Zbl 0348.08002
[2] K. Baker,Finite equational bases for finite algebras in a congruence distributive equational class, Advances in Math. (to appear). · Zbl 0356.08006
[3] D. M. Clark andP. H. Krauss,Vara primal algebras. Algebra Universalis (to appear).
[4] D. M. Clark andP. H. Krauss,Varieties generated by para primal algebras. Algebra Universalis7 (1977), 93–114. · Zbl 0435.08004 · doi:10.1007/BF02485419
[5] B. Jonsson,Algebras whose congruence lattices are distributive, Math. Scand.21 (1967), 110–121. · Zbl 0167.28401
[6] R. L. Kruse,Identities satisfied by a finite ring, J. Algebra26 (1973), 298–318. · Zbl 0276.16014 · doi:10.1016/0021-8693(73)90025-2
[7] R. McKenzie,Equational bases for lattice theories, Math. Scand.27 (1970), 24–38. · Zbl 0307.08001
[8] R. McKenzie,On minimal, locally finite varieties with permuting congruence relations, preprint.
[9] R. McKenzie,A finite algebra A with SP (A) not elementary, Algebra Universalis (to appear). · Zbl 0371.08005
[10] S. Oates andM. B. Powell,Identical relations in finite groups, J. Algebra1 (1964), 11–39. · Zbl 0121.27202 · doi:10.1016/0021-8693(64)90004-3
[11] P. Perkins,Bases for equational theories of semigroups, J. Algebra11 (1969), 293–314. · Zbl 0186.03401 · doi:10.1016/0021-8693(69)90058-1
[12] A. F. Pixley,Completeness in arithmetical algebras, Algebra Universalis2 (1972), 179–196. · Zbl 0254.08010 · doi:10.1007/BF02945027
[13] R. W. Quackenbush,Equational classes generated by finite algebras, Algebra Universalis1 (1971), 265–266. · Zbl 0231.08004 · doi:10.1007/BF02944989
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