Skew Boolean algebras and discriminator varieties |
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| Authors: | R J Bignall J E Leech |
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| Institution: | (1) Gippsland School of Computing and Information Technology, Monash University Gippsland Campus, 3842 Churchill, Victoria, Australia;(2) Department of Mathematics and Computer Science, Westmont College, 93108-1099 Santa Barbara, California, USA |
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| Abstract: | We investigate the class of skew Boolean algebras which are also meet semilattices under the natural skew lattice partial order. Such algebras, called hereskew Boolean  -algebras, are quite common. Indeed, any algebra A in a discriminator variety with a constant term has a skew Boolean -algebra polynomial reduct whose congruences coincide with those of A.Presented by S. Burris. |
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