Analyzing Some Structural Properties of Topological - Algebras

Narciso C. Gonzaga

International Journal of Mathematics and Mathematical Sciences, 2019, vol. 2019, 1-7

Abstract:

In this study, we investigate the topology on - algebras: an algebraic system of propositional logic. We define here the notion of topological - algebras (briefly, - algebras) and some properties are investigated. A characterization of - algebras based on neighborhoods is provided. We also provide a filterbase that generates a unique - topology, making a - algebra in which the filterbase is a neighborhood base of the constant element, provided that the given - algebra is commutative. Finally, we investigate subalgebras of - algebras and introduce the notion of quotient - algebras of the given - algebra.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:8683965

DOI: 10.1155/2019/8683965

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