Copyright © 2013 Jesús Ávila and João Lazzarin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We consider a partial action with enveloping action . In this work we extend α to a partial action on the ring and find its enveloping action . Finally, we introduce the concept of partial action of finite type to investigate the relationship between and .