SOCLE DEFORMED PREPROJECTIVE ALGEBRAS OF GENERALIZED DYNKIN TYPE

被引：2
|
作者：
Bialkoswki, Jerzy [1 ]
机构：
[1] Nicolaus Copernicus Univ, Fac Math & Comp Sci, Chopina 12-18, PL-87100 Torun, Poland
来源：
COLLOQUIUM MATHEMATICUM | 2019年 / 156卷 / 02期
关键词：
preprojective algebra; deformed preprojective algebra; socle equivalence;
D O I：
10.4064/cm7527-5-2018
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We provide a complete classification of finite-dimensional self-injective algebras which are socle equivalent to preprojective algebras of generalized Dynkin type. In particular, we conclude that these algebras are deformed preprojective algebras of generalized Dynkin type (in the sense of Bialkowski-Erdmann-Skowronski (2007)), and hence are periodic algebras.
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页码：165 / 197
页数：33
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