Topological Up-Algebras

Topological Up-Algebras

In this paper, we introduce the notion of topological UP-algebras and several types of subsets of topological UP-algebras, and prove the generalization of these subsets. We also introduce the notions of quotient topological spaces of topological UP-algebras and topological UP-homomorphisms. Furtherm...

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Bibliographic Details
Main Authors: Satirad Akarachai, Iampan Aiyared
Format: Article
Language:English
Published: Sciendo 2019-12-01
Series:Discussiones Mathematicae - General Algebra and Applications
Subjects:
topological up-algebra
quotient topological space
topological up-homomorphism
primary: 03g25
secondary: 54a05
Online Access:https://doi.org/10.7151/dmgaa.1317
Description
Summary:In this paper, we introduce the notion of topological UP-algebras and several types of subsets of topological UP-algebras, and prove the generalization of these subsets. We also introduce the notions of quotient topological spaces of topological UP-algebras and topological UP-homomorphisms. Furthermore, we study the relation between topological UP-algebras, Hausdor spaces, discrete spaces, and quotient topological spaces, and prove some properties of topological UP-algebras.
ISSN:2084-0373

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