Filters and ideals in implicative semigroups
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Mohamed Boudiaf University of M’sila, Faculty of Mathematics and Informatics, Departement of Mathematics
Abstract
In this work, some characterizations of positive implicative ordered
filters in the structure of implicative semigroups are given. And we have
discussed some properties of filters generated by a subset of an
implicative semigroup. Also we give a condition for a special subset to be
a ideal.
Finally we study the notion of homeomorphisms between implicative
semigroups.