Congruence properties of pseudocomplemented De Morgan algebras |
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| Authors: | Hanamantagouda P Sankappanavar Júlia Vaz de Carvalho |
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| Institution: | 1. Department of Mathematics, State University of New York, , New Paltz, NY, 12561 United States of America;2. Departamento de Matemática, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, , 2829‐516 Caparica, Portugal;3. Centro de álgebra da Universidade de Lisboa, , 1649‐003 Lisboa, Portugal |
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| Abstract: | In this paper we first describe the Priestley duality for pseudocomplemented De Morgan algebras by combining the known dualities of distributive p‐algebras due to Priestley and for De Morgan algebras due to Cornish and Fowler. We then use it to characterize congruence‐permutability, principal join property, and the property of having only principal congruences for pseudocomplemented De Morgan algebras. The congruence‐uniform pseudocomplemented De Morgan algebras are also described. |
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