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On s-­topological d­-algebras

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2023, v.30 no.3, pp.237-248
https://doi.org/https://doi.org/10.7468/jksmeb.2023.30.3.237
Alias Khalaf
Balasubramaniyan Jaya Bharathi
Neelamegarajan Rajesh
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Abstract

The aim of this paper is to study the concept of s-topological d-algebras which is a d-algebra supplied with a certain type of topology that makes the binary operation defined on it d-topologically continuous. This concept is a generalization of the concept of topological d-algebra. We obtain several properties of s-topological d-algebras.

keywords
d-algebra, semi-open set, sd-algebra

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics