Tilting-Connected Symmetric Algebras

Tilting-Connected Symmetric Algebras
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DOI:
10.1007/s10468-012-9337-3
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发表时间:
2010-12
影响因子:
0.6
通讯作者:
T. Aihara
T. Aihara
中科院分区:
数学4区
文献类型:
--
作者:
T. Aihara

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淤积突变的概念是由Iyama和作者提出的。本文主要研究了自内射代数的淤变,证明了任何表示有限对称代数都是倾斜连通的。此外,我们给出了Bongartz型引理成立的充分条件。
The notion of silting mutation was introduced by Iyama and the author. In this paper we mainly study silting mutation for self-injective algebras and prove that any representation-finite symmetric algebra is tilting-connected. Moreover we give some sufficient conditions for a Bongartz-type Lemma to hold for silting objects.