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.

引用

页码：165 / 197

页数：33

共 24 条

[1] [Anonymous], 2006, London Mathematical Society Student Texts
[2] ALMOST SPLIT-SEQUENCES FOR RATIONAL DOUBLE POINTS
AUSLANDER, M
REITEN, I
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 302 (01) : 87 - 97
[3] Auslander M., 1996, CMS C P, V18, P39
[4] Bialkowski J., COMM ALGEBRA
[5] Deformed preprojective algebras of generalized Dynkin type
Bialkowski, Jerzy
Erdmann, Karin
Skowronski, Andrzej
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 359 (06) : 2625 - 2650
[6] Deformed preprojective algebras of generalized Dynkin type Ln: Classification and symmetricity
Bialkowski, Jerzy
Erdmann, Karin
Skowronski, Andrzej
[J]. JOURNAL OF ALGEBRA, 2011, 345 (01) : 150 - 170
[7] Periodic algebras which are almost Koszul
Brenner, S
Butler, MCR
King, AD
[J]. ALGEBRAS AND REPRESENTATION THEORY, 2002, 5 (04) : 331 - 367
[8] THE AUSLANDER-REITEN QUIVER OF A SIMPLE CURVE SINGULARITY
DIETERICH, E
WIEDEMANN, A
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 294 (02) : 455 - 475
[9] Periodicity of d-cluster-tilted algebras
Dugas, Alex
[J]. JOURNAL OF ALGEBRA, 2012, 368 : 40 - 52
[10] Periodic resolutions and self-injective algebras of finite type
Dugas, Alex S.
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2010, 214 (06) : 990 - 1000

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