Cohen-Macaulay Auslander algebras of skewed-gentle algebras

摘要

For any skewed-gentle algebra, we characterize its indecomposable Gorenstein projective modules explicitly and describe its Cohen-Macaulay Auslander algebra. We prove that skewed-gentle algebras are always Gorenstein, which is independent of the characteristic of the ground field, and the Cohen-Macaulay Auslander algebras of skewed-gentle algebras are also skewed-gentle algebras.