Congruence properties of pseudocomplemented De Morgan algebras

Autor:	Hanamantagouda P. Sankappanavar, Júlia Vaz de Carvalho
Rok vydání:	2014
Předmět:	Mathematics::Logic Pure mathematics Congruence (geometry) Distributive property Mathematics::Category Theory Mathematics::History and Overview Duality (order theory) Mathematics::Metric Geometry Join (sigma algebra) Congruence relation Mathematics::Geometric Topology Mathematics
Zdroj:	Mathematical Logic Quarterly. 60:425-436
ISSN:	0942-5616
DOI:	10.1002/malq.201300038
Popis:	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.
Databáze:	OpenAIRE
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