Filters and ideals in implicative semigroups
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Date
2024-06-06
Journal Title
Journal ISSN
Volume Title
Publisher
Mohamed Boudiaf University of M'sila
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.
Description
Keywords
Implicative semigroups, filters (ideals) of implicative semigroups, negatively ordered implicative semigroups, homomorphism of implicative semigroup