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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ON s-TOPOLOGICAL d-ALGEBRAS

On s-­topological d­-algebras

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2023, v.30 no.3, pp.237-248
https://doi.org/https://doi.org/10.7468/jksmeb.2023.30.3.237
Alias Khalaf (Department of Mathematics, College of Science, University of Duhok)
Balasubramaniyan Jaya Bharathi (Department of Mathematics, Rabiammal Ahamed Maideen College For Women)
Neelamegarajan Rajesh (Department of Mathematics, Rajah Serfoji Government College)

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

한국수학교육학회지시리즈B:순수및응용수학