Group-Graded Rings, Smash Products, and Group Actions
Group-Graded Rings, Smash Products, and Group Actions
Let A be a k-algebra graded by a finite group G, with A 1 the component for the identity element of G.We consider such a grading as a "coaction" by G, in that A is a k[G]*-module algebra.We then study the smash product A#k[G]*; it plays a role similar to …