TY - JOUR
A2 - Montes, Susana
AU - Gonzaga, Narciso C.
PY - 2019
DA - 2019/07/15
TI - Analyzing Some Structural Properties of Topological -Algebras
SP - 8683965
VL - 2019
AB - 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, TB-algebras) and some properties are investigated. A characterization of TB-algebras based on neighborhoods is provided. We also provide a filterbase that generates a unique B-topology, making a TB-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 TB-algebras and introduce the notion of quotient TB-algebras of the given B-algebra.
SN - 0161-1712
UR - https://doi.org/10.1155/2019/8683965
DO - 10.1155/2019/8683965
JF - International Journal of Mathematics and Mathematical Sciences
PB - Hindawi
KW -
ER -