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Abstract
We prove that if A is an artin algebra, G is a finite group acting on A such that |G| 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.
ACKNOWLEDGMENTS
The first author gratefully acknowledges partial support from the NSERC of Canada. This article was written while the second author was a CRM-ISM postdoctoral fellow at the universities of Sherbrooke and Bishop's. This article was started while the third author was visiting the University of Sherbrooke in Québec. She acknowledges support from the NSERC of Canada, and would like to express her gratitude to Ibrahim and Marcelo for their warm hospitality.
The third author is a researcher from CONICET, Argentina.
Notes
Communicated by C. Cibils.