Katrina E. Belleza, Jocelyn P. Vilela
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.
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