Artículo
On implicator groupoids
Fecha de publicación:
04/2017
Editorial:
Birkhauser Verlag Ag
Revista:
Algebra Universalis
ISSN:
0002-5240
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
In a paper published in 2012, the second author extended the well-known fact that Boolean algebras can be defined using only implication and a constant, to De Morgan algebras—this result led him to introduce, and investigate (in the same paper), the variety I of algebras, there called implication zroupoids (I-zroupoids) and here called implicator groupoids (I-groupoids), that generalize De Morgan algebras. The present paper is a continuation of the paper mentioned above and is devoted to investigating the structure of the lattice of subvarieties of I, and also to making further contributions to the theory of implicator groupoids. Several new subvarieties of I are introduced and their relationship with each other, and with the subvarieties of I which were already investigated in the paper mentioned above, are explored.
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Licencia
Identificadores
Colecciones
Articulos(INMABB)
Articulos de INST.DE MATEMATICA BAHIA BLANCA (I)
Articulos de INST.DE MATEMATICA BAHIA BLANCA (I)
Citación
Cornejo, Juan Manuel; Sankappanavar, Hanamantagouda P.; On implicator groupoids; Birkhauser Verlag Ag; Algebra Universalis; 77; 2; 4-2017; 125-146
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