Two-Dimensional Tame and Maximal Orders of Finite Representation Type

Download or read book Two-Dimensional Tame and Maximal Orders of Finite Representation Type written by Idun Reiten and published by American Mathematical Soc.. This book was released on 1989 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper gives a classification of the tame [italic]R-orders of finite representation type in terms of their Auslander-Reiten quivers. Up to reflexive Morita equivalence one can reduce to the case of a tame order of global dimension two. Using covering theory methods, the classification is done by classifying graded orders of global dimension two, and then an interpretation of [capital Greek]Lambda as a skew group ring shows that [capital Greek]Lambda is the completion of its associated graded order.