On dual B-filters and dual B-subalgebras in a topological dual B-algebra

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Katrina E. Belleza, Jimboy R. Albaracin

2023 Journal of Mathematics and Computer Science Vol. 28 Issue 1 Article Cited by 5 Quartile

Abstract

This paper introduces the notion of the tdB-algebra, presents characteristics and properties of dual B-filters and dual B-subalgebras in a tdB-algebra, and introduces the uniform topology on a dual B-algebra in terms of its dual B-subalgebras. Moreover, this paper shows that a uniform dual B-structure is a tdB-algebra. © 2023, International Scientific Research Publications. All rights reserved.

Affiliations

Department of Computer, Information Sciences, and Mathematics, School of Arts and Sciences, University of San Carlos, Cebu City, Philippines; Mathematics and Statistics Programs, College of Science, University of the Philippines Cebu, Cebu City, Philippines