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Campo DC | Valor | Idioma |
---|---|---|
dc.contributor.author | Sankappanavar, H. P. | - |
dc.creator | Sankappanavar, H. P. | - |
dc.date.accessioned | 2013-02-21T18:34:24Z | - |
dc.date.available | 2013-02-21T18:34:24Z | - |
dc.date.issued | 1982 | - |
dc.identifier.issn | 0002-5240 | - |
dc.identifier.uri | http://www.repositorio.ufba.br/ri/handle/ri/8629 | - |
dc.description | Texto completo. Acesso restrito. p. 68 - 81 | pt_BR |
dc.description.abstract | Investigations into the structure of the congruence lattices of pseudocomplemented semilattices (PCS's) were initiated in [10]. In this paper a we characterize the class of congruence-semimodular PCS's (i.e. PCS's with semimodular lattice of congruences) and the class of congruence-distributive PCS's (i.e. with distributive congruence lattices). We give two characterizations of each class; one of these is a Dedekind-Birkhoff-type characterization which says that the exclusion in a certain sense of a single PCS P6 determines the class of congruence-semimodular PCS's, and the exclusion of the two PCS's P6 and P5 (these are defined in the sequel) determines the class of congruence-distributive PCS's. The other characterization shows that each of these classes is strictly elementary and gives explicitly the defining axiom for each class as a universal positive sentence (in the language of PCS's). This paper is a continuation of [10] and borrows the notation and the results from it. For other information see the standard references [6] and [7]. | pt_BR |
dc.language.iso | en | pt_BR |
dc.publisher | Algebra Universalis | pt_BR |
dc.source | 10.1007/BF02483909 | pt_BR |
dc.title | Congruence-semimodular and congruence-distributive pseudocomplemented semilattices | pt_BR |
dc.title.alternative | Algebra Universalis | pt_BR |
dc.type | Artigo de Periódico | pt_BR |
dc.identifier.number | v. 14, n. 1 | pt_BR |
Aparece nas coleções: | Artigo Publicado em Periódico (IME) |
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