Some topologies on d - algebra

Abstract

We will give a filter base generating a d#

-algebra topology which is a fundamental neighborhood system of zero for that

topology and find some properties of that d#

-algebra topology and we use the left(right) stabilizers of a d#

- algebra (D,∗,0) and produce

basis for topology. Then we show that the generated topological space by this basis are connected, locally connected and separable.

Also we study the other properties of these topological space.