Katrina E. Belleza, Jocelyn P. Vilela
This paper provides some separation axioms on a topological B-algebra. In particular, a characterization of a discrete topological B-algebra is presented. Furthermore, this paper introduces the quotient B-topological space and presents some properties. Moreover, this paper gives some conditions which under a topological Balgebra (resp. quotient topological B-algebra), the quotient B-topological space (resp. B-topological space) have the topological properties T0, T1, and Hausdorff. © 2022 Forum-Editrice Universitaria Udinese SRL. All rights reserved.
Department of Computer, Information Sciences and Mathematics, Faculty of Mathematics, University of San Carlos Cebu City, Cebu, Philippines; Department of Mathematics and Statistics, Faculty of Mathematics, Mindanao State University, Iligan Institute of Technology Iligan City, Lanao del Norte, Philippines
