On components of stable Auslander-Reiten quivers that contain Heller lattices: The case of truncated polynomial rings - Corrigendum
On components of stable Auslander-Reiten quivers that contain Heller lattices: The case of truncated polynomial rings - Corrigendum
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关于包含 Heller 格子的稳定 Auslander-Reiten 箭袋的组成部分：截断多项式环的情况 - 勘误表
DOI：
10.1017/nmj.2018.51
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Kengo Miyamoto
中科院分区：
文献类型：
--
作者：
Susumu Ariki;Ryoichi Kase;Kengo Miyamoto
在整个过程中，O将是一个完全的离散赋值环，A将是一个对称的O-阶（关于O-阶的定义，请参考[CR，定义23.1]）。我们把A-格的范畴记为latt-A，A的稳定Auslander-Reiten格表示对latt-A.在[AKM]中，我们引入了A的稳定Auslander-Reiten箭图，并确定了A= O [X]/（Xn）情况下包含Heller格的A的稳定分量。最终结果定理3.1是正确的，但预备结果引理1.23和定理1.27需要更精确地陈述。我们在本勘误表中更正了这些部分。我们还纠正了原论文中引理1.21（3）的粗心陈述。
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.