Abstract.
Ross Willard proved that every congruence meet-semidistributive variety of algebras that has a finite residual bound and a finite signature can be axiomatized by some finite set of equations. We offer here a simplification of Willard’s proof, avoiding its use of Ramsey’s Theorem. This simplification also extends Willard’s theorem by replacing the finite residual bound with a weaker condition.
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In Celebration of the Sixtieth Birthday of Ralph N. McKenzie
Received February 26, 2004; accepted in final form August 2, 2004.
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Baker, K.A., McNulty, G.F. & Wang, J. An extension of Willard’s Finite Basis Theorem: Congruence meet-semidistributive varieties of finite critical depth. Algebra univers. 52, 289–302 (2005). https://doi.org/10.1007/s00012-004-1890-0
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DOI: https://doi.org/10.1007/s00012-004-1890-0