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The Representation Dimension of a Selfinjective Algebra of Wild Tilted Type
Published 1 Jul 2016 in math.RT | (1607.00305v1)
Abstract: We prove that the representation dimension of a selfinjective algebra of wild tilted type is equal to three, and give an explicit construction of an Auslander generator of its module category. We also show that if a connected selfinjective algebra admits an acyclic generalised standard Auslander-Reiten component then its representation dimension is equal to three.
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