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Congruence Coherent Symmetric Extended de Morgan Algebras
Authors:T. S. Blyth  Jie Fang
Affiliation:(1) Mathematical Institute, University of St Andrews, St Andrews, KY16 9SS, Scotland;(2) Department of Mathematics, Shantou University, Shantou, 515063, Guangdong, P.R. China
Abstract:An algebra A is said to be congruence coherent if every subalgebra of A that contains a class of some congruence $$vartheta$$ on A is a union of $$vartheta$$ -classes. This property has been investigated in several varieties of lattice-based algebras. These include, for example, de Morgan algebras, p-algebras, double p-algebras, and double MS-algebras. Here we determine precisely when the property holds in the class of symmetric extended de Morgan algebras. Presented by M.E. Adams
Keywords:congruence coherent  extended de Morgan algebra
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