Partial Actions and Power Sets

Abstract EN

We consider a partial action (X,α) with enveloping action (T,β).

In this work we extend α to a partial action on the ring (P(X),Δ,∩) and find its enveloping action (E,β).

Finally, we introduce the concept of partial action of finite type to investigate the relationship between (E,β) and (P(T),β).