On B-ideals in a topological B-algebra and the uniform B-topological space

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Katrina E. Belleza, Jocelyn P. Vilela

2020 European Journal of Pure and Applied Mathematics Vol. 13 Issue 4 Article Cited by 3 Quartile

Abstract

This paper presents the characterizations and properties of B-ideals in a topological B-algebra and introduces the uniform topology on a B-algebra in terms of its B-ideals. Moreover, this paper shows that a uniform B-topological space is a topological B-algebra. © 2020 EJPAM All rights reserved.

Affiliations

Department of Computer, Information Sciences and Mathematics, School of Arts and Sciences, University of San Carlos, Cebu City, 6000, Philippines; Department of Mathematics and Statistics, College of Science and Mathematics, Center of Graph Theory, Algebra and Analysis, Premier Research Institute of Science and Mathematics, Mindanao State University-Iligan, Institute of Technology, Iligan City, 9200, Philippines