What is it about?
A B-algebra is an algebraic structure related to BCI/BCK-algebras but has rather simple yet profound properties. We constructed and provided some properties of topological B-algebras (or briefly, TB-algebras) and provided some characterizations.
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Why is it important?
B-algebras and groups are "essentially equivalent"; hence, well-established properties of B-algebras can be derived from the known properties of groups. Similar to the importance of topological groups, the notion of TB-algebras will provide more properties and results pertaining to the structure of B-algebras.
Perspectives
I do believe that this article will contribute to further studies about B-algebras and topology in general.
Narciso Jr. Gonzaga
Bukidnon State University
Read the Original
This page is a summary of: Analyzing Some Structural Properties of Topological B-Algebras, International Journal of Mathematics and Mathematical Sciences, July 2019, Hindawi Publishing Corporation,
DOI: 10.1155/2019/8683965.
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