INMABB 05456
INSTITUTO DE MATEMATICA BAHIA BLANCA
Unidad Ejecutora - UE
artículos
Título:
On implicator groupoids
Autor/es:
JUAN MANUEL CORNEJO; HANAMANTAGOUDA P. SANKAPPANAVAR
Revista:
ALGEBRA UNIVERSALIS
Editorial:
BIRKHAUSER VERLAG AG
Referencias:
Año: 2017 vol. 77 p. 125 - 146
ISSN:
0002-5240
Resumen:
It is a well known fact that Boolean algebras can be defined using only implication and a constant. In 2012, this result was extended to De Morgan algebras in cite{sankappanavarMorgan2012} which led Sankappanavar to introduce, and investigate, the variety $mathbf{I}$ of implication zroupoids (I-zroupoids) generalizing De Morgan algebras.The present paper, a continuation of cite{sankappanavarMorgan2012}, is devoted to investigating the structure of the lattice of subvarieties of $mathbf{I}$,and also to making further contributions to the theory of implication zroupoids. Several new subvarieties of$mathbf{I}$ are introduced and their relationships with each other and with the subvarieties of $mathbf{I}$, which were investigated in cite{sankappanavarMorgan2012}, are explored.
