A Topological Structure on d-algebras
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i3.6270Keywords:
b-T2 space, Tbd-algebra, b-open set, d-algebraAbstract
The primary aim of this paper is applying the concept of b-open sets in topological spaces to explore the idea of b-topological d- algebra (Tbd-algebra), which is a d-algebra equipped with a specific type of topology that ensured the binary operation that is defined on them to be d-topologically continuous. This idea generalizes the notion of topological d-algebras. In addition, we present some relations between open sets and b-open sets in a Tbd-algebra. We also construct some relations between Ti and b-Ti-spaces for (i=0,1,2). Finally, we use left maps on positive implicative d-algebras to establish some Tbd-algebras.
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Copyright (c) 2025 Maha Abdulqader, Alias B. Khalaf
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