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Showing 1 to 5 of 5 for “"Auslander-Reiten"”.
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Auslander-Reiten theory in functorially finite resolving subcategories
Abstract We analyze the Auslander-Reiten quiver
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Auslander-Reiten Sequences over Gorenstein Rings of Dimension One
… maximal Cohen-Macaulay R-module which begins an Auslander-Reiten sequence, then this sequence is produced by an endomorphism of m, which we call a Frobenius element. We observe that Frobenius elements can be easier to identify when R is a graded ring, instead of complete local. We give an example …
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Noncommutative Complete Isolated Singularities
… of previous chapters to prove the existence of Auslander-Reiten sequences for a well chosen category of modules over $R$.
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Complexity over Finite-Dimensional Algebras
… over cluster tilted algebras where τ is the Auslander-Reiten translate. We prove that modules over the cluster tilted algebra of type H all have complexities either 0, 1, 2 or infinity, depending on the representation type of the hereditary algebra H.</p>
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Representation Theory of Orders over Cohen-Macaulay Rings
… commutative rings. Originally</p> <p>defined by Auslander and Bridger, an R-order is an R-algebra which is a maximal CohenMacaulay</p> <p>R-module. In this thesis we consider orders, Λ, over Cohen-Macaulay local rings</p> <p>R possessing a canonical module, ωR. In this case a great deal of …