Partial actions and power sets. (Q1936001)

Summary: We consider a partial action \((X,\alpha)\) with enveloping action \((T,\beta)\). In this work we extend \(\alpha\) to a partial action on the ring \((P(X),\Delta,\cap)\) and find its enveloping action \((E,\beta)\). Finally, we introduce the concept of partial action of finite type to investigate the relationship between \((E,\beta)\) and \((P(T),\beta)\).