On dual \(B\)-filters and dual \(B\)-subalgebras in a topological dual \(B\)-algebra

Volume 28, Issue 1, pp 1--10 http://dx.doi.org/10.22436/jmcs.028.01.01
Publication Date: April 16, 2022 Submission Date: August 26, 2021 Revision Date: March 08, 2022 Accteptance Date: March 10, 2022

Authors

K. E. Belleza - Department of Computer, Information Sciences, and Mathematics, School of Arts and Sciences, University of San Carlos, Cebu City, Philippines. J. R. Albaracin - Mathematics and Statistics Programs, College of Science, University of the Philippines Cebu, Cebu City, Philippines.


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.


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ISRP Style

K. E. Belleza, J. R. Albaracin, On dual \(B\)-filters and dual \(B\)-subalgebras in a topological dual \(B\)-algebra, Journal of Mathematics and Computer Science, 28 (2023), no. 1, 1--10

AMA Style

Belleza K. E., Albaracin J. R., On dual \(B\)-filters and dual \(B\)-subalgebras in a topological dual \(B\)-algebra. J Math Comput SCI-JM. (2023); 28(1):1--10

Chicago/Turabian Style

Belleza, K. E., Albaracin, J. R.. "On dual \(B\)-filters and dual \(B\)-subalgebras in a topological dual \(B\)-algebra." Journal of Mathematics and Computer Science, 28, no. 1 (2023): 1--10


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