TY - JOUR
TI - Analyzing Some Structural Properties of Topological -Algebras
VL - 2019
PY - 2019
DA - 2019/07/15
DO - 10.1155/2019/8683965
UR - https://doi.org/10.1155/2019/8683965
AB - 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.
JF - International Journal of Mathematics and Mathematical Sciences
SN - 0161-1712
PB - Hindawi
SP - 8683965
KW -
A2 - Montes, Susana
AU - Gonzaga, Narciso C.
ER -