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On s-topological d-algebras
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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.
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.
참고문헌 (9)
- Yasuyuki Imai, "On axiom systems of propositional calculi, XIV", Proceedings of the Japan Academy, Series A, Mathematical Sciences, 42(1), pp.19~22 (1966), Project Euclid[DOI]
- Kiyoshi Iséki, "An algebra related with a propositional calculus", Proceedings of the Japan Academy, Series A, Mathematical Sciences, 42(1), pp.351~366 (1966), Project Euclid[DOI]
- A.B. Khalaf, "On s-topological BCK-algebras", Journal of University of Duhok (Pure and Eng. Sciences), 23(1), pp.199~208 (2020), University of Duhok[DOI]
- Norman Levine, "Semi-Open Sets and Semi-Continuity in Topological Spaces", The American Mathematical Monthly, 70(1), pp.36~41 (1963), JSTOR[DOI]
- J. Neggers, "On d-algebras", Math. Slovaca, 49, pp.19~26 (1999)
- J. Neggers, "On d-ideals in d-algebras", Mathematica Slovaca, 49(3), pp.243~251 (1999)
- S.N. Maheswari, "Some new separations axioms", Ann. Soc. Sci. Bruexles, Ser. I, 89, pp.395~402 (1975)
- N. Nagamani, "Topological Structures on d-Algebras", Journal of Phys-ical Sciences, 24, pp.9~19 (2019)
- M. H. Stone, "Applications of the Theory of Boolean Rings to General Topology", Transactions of the American Mathematical Society, 41(3), pp.375~481 (1937), JSTOR[DOI]
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