A Characterization of Principal Congruences of De Morgan Algebras and its Applications

dc.creatorSankappanavar, H. P.
dc.creatorSankappanavar, H. P.
dc.date.accessioned2013-09-26T18:12:41Z
dc.date.accessioned2022-10-07T18:36:17Z
dc.date.available2013-09-26T18:12:41Z
dc.date.available2022-10-07T18:36:17Z
dc.date.created2013-09-26T18:12:41Z
dc.date.issued1980
dc.identifierhttp://www.repositorio.ufba.br/ri/handle/ri/13064
dc.identifierv. 99
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/4011762
dc.description.abstractIn this paper a characterization of principal congruences of De Morgan algebras is given and from it we derive that the variety of De Morgan algebras has DPC and CEP. The characterization is then applied to give a new proof of Kalman's characterization of subdirectly irreducibles in this variety and thus to obtain the representation theorem for DeMorgan algebras first proved by Kalman and independently, using topological methods, by Bialynicki-Birula and Rasiowa. From this representation it is deduced that finite De Morgan algebras are not the only ones with Boolean congruence lattices. Finally it is shown that the compact elements in the congruence lattice of a De Morgan algebra form a Boolean sublattice.
dc.languageen
dc.publisherStudies in Logic and the Foundations of Mathematics
dc.sourcehttp://www-sciencedirect-com.ez10.periodicos.capes.gov.br/science/article/pii/S0049237X09704938
dc.titleA Characterization of Principal Congruences of De Morgan Algebras and its Applications
dc.typeArtigo de Periódico


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