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.
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Blyth, T.S., Fang, J. Congruence Coherent Symmetric Extended de Morgan Algebras. Stud Logica 87, 51–63 (2007). https://doi.org/10.1007/s11225-007-9076-3
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DOI: https://doi.org/10.1007/s11225-007-9076-3