Two-Dimensional Tame and Maximal Orders of Finite Representation Type
Idun Reiten · M. van den Bergh
Jan 1989 · American Mathematical Society: Memoirs of the American Mathematical Society Book 408 · American Mathematical Soc.
Ebook
72
Pages
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About this ebook
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.
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