Abstract
We provide several conditions that, among locally finite varieties, characterize congruence meet-semidistributivity and we use these conditions to give a new proof of a finite basis theorem published by Baker, McNulty, and Wang in 2004. This finite basis theorem extends Willard’s Finite Basis Theorem.
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In memory of Bjarni Jónsson, the mathematician and the man.
This article is part of the topical collection “In memory of Bjarni Jónsson” edited by J.B. Nation.
The first author was supported by National Science Foundation Grant DMS 1500216. The second author acknowledges the support of the Natural Sciences and Engineering Research Council of Canada.
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McNulty, G.F., Willard, R. Congruence meet-semidistributive locally finite varieties and a finite basis theorem. Algebra Univers. 79, 44 (2018). https://doi.org/10.1007/s00012-018-0524-x
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DOI: https://doi.org/10.1007/s00012-018-0524-x