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ON COMPONENTS OF STABLE AUSLANDER–REITEN QUIVERS THAT CONTAIN HELLER LATTICES: THE CASE OF TRUNCATED POLYNOMIAL RINGS – CORRIGENDUM

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The original publication of [AKM] contained several errors that the authors wish to correct in the following. Throughout, O will be a complete discrete valuation ring, and A will be… Click to show full abstract

The original publication of [AKM] contained several errors that the authors wish to correct in the following. Throughout, O will be a complete discrete valuation ring, and A will be a symmetric O-order (refer to [CR, Definition 23.1] for the definition of an O-order). We write latt-A for the category of A-lattices and the stable Auslander–Reiten quiver of A means that for latt-A. In [AKM], we introduced the stable Auslander–Reiten quiver of A and determined stable components of A that contain Heller lattices for the case A=O[X]/(Xn). The final result Theorem 3.1 is correct, but preparatory results Lemma 1.23 and Theorem 1.27 need to be stated more precisely. We correct those parts in this corrigendum. We also correct the careless statement of Lemma 1.21(3) in the original paper.

Keywords: contain heller; auslander reiten; lattices case; stable auslander; heller lattices

Journal Title: Nagoya Mathematical Journal
Year Published: 2019

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