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

Posted by CVSC on August 23, 2022 in Recent Publications | 0 comments

Katrina E. Bellezaa,∗ Jimboy R. Albaracin

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.

Keywords: Topological algebra, dual B-algebra, topological dual B-algebra, dual B-topological space, tdB-algebra.
2020 MSC: 46H10, 54A05, 54F65, 54H99, 55M99.

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