Analyzing Some Structural Properties of Topological B -Algebras
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-07-15
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
In this study, we investigate the topology on B -algebras: an algebraic system of propositional logic.
We define here the notion of topological B -algebras (briefly, T B -algebras) and some properties are investigated.
A characterization of T B -algebras based on neighborhoods is provided.
We also provide a filterbase that generates a unique B -topology, making a T B -algebra in which the filterbase is a neighborhood base of the constant element, provided that the given B -algebra is commutative.
Finally, we investigate subalgebras of T B -algebras and introduce the notion of quotient T B -algebras of the given B -algebra.
American Psychological Association (APA)
Gonzaga, Narciso C.. 2019. Analyzing Some Structural Properties of Topological B -Algebras. International Journal of Mathematics and Mathematical Sciences،Vol. 2019, no. 2019, pp.1-7.
https://search.emarefa.net/detail/BIM-1166421
Modern Language Association (MLA)
Gonzaga, Narciso C.. Analyzing Some Structural Properties of Topological B -Algebras. International Journal of Mathematics and Mathematical Sciences No. 2019 (2019), pp.1-7.
https://search.emarefa.net/detail/BIM-1166421
American Medical Association (AMA)
Gonzaga, Narciso C.. Analyzing Some Structural Properties of Topological B -Algebras. International Journal of Mathematics and Mathematical Sciences. 2019. Vol. 2019, no. 2019, pp.1-7.
https://search.emarefa.net/detail/BIM-1166421
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1166421