Laura skew group algebras

摘要

We prove that if A is an artin algebra, G is a. finite group acting on A such that vertical bar G vertical bar is invertible in A, and R = A[G](b) is a basic algebra associated with the skew group algebra, then A is left supported (or right supported, or laura, or left glued, or right glued, or weakly shod, or shod) if and only if so is R.