Congruence Coherent Symmetric Extended de Morgan Algebras |
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Authors: | T. S. Blyth Jie Fang |
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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 |
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Abstract: | An algebra A is said to be congruence coherent if every subalgebra of A that contains a class of some congruence on A is a union of -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 |
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Keywords: | congruence coherent extended de Morgan algebra |
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