“…We denote by add(M) the full subcategory of mod A consisting of all summands of a direct sum of copies of a module M. For all unexplained notions and notations, see [1,2,6,11] and [14]. The reader is also referred to the recent papers [3,4] and [17] for a discussion of representation theory problems over crossed product algebras and twisted group algebras.…”
Section: Introduction Let K Be a Commutative Artin Ring A K-algebramentioning
We consider an artin algebra A and its crossed product algebra Aα#σG, where G is a finite group with its order invertible in A. Then, we prove that A is a tilted algebra if and only if so is Aα#σG.
“…We denote by add(M) the full subcategory of mod A consisting of all summands of a direct sum of copies of a module M. For all unexplained notions and notations, see [1,2,6,11] and [14]. The reader is also referred to the recent papers [3,4] and [17] for a discussion of representation theory problems over crossed product algebras and twisted group algebras.…”
Section: Introduction Let K Be a Commutative Artin Ring A K-algebramentioning
We consider an artin algebra A and its crossed product algebra Aα#σG, where G is a finite group with its order invertible in A. Then, we prove that A is a tilted algebra if and only if so is Aα#σG.
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