On m-cluster tilted algebras and trivial extensions

被引：3
|
作者：
Fernandez, Elsa [1 ]
Isabel Pratti, Nilda [2 ]
Trepode, Sonia [2 ]
机构：
[1] Univ Nacl Patagonia San Juan Bosco, Fac Ingn, RA-9120 Puerto Madryn, Argentina
[2] Univ Nacl Mar del Plata, Fac Ciencias Exactas & Nat, RA-7600 Mar Del Plata, Buenos Aires, Argentina
来源：
JOURNAL OF ALGEBRA | 2013年 / 393卷
关键词：
Tilting complex; Relation extension; m-Cluster tilted algebra; Iterated tilted algebra; QUIVERS; CATEGORIES;
D O I：
10.1016/j.jalgebra.2013.06.034
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work we study the connection between iterated tilted algebras and m-cluster tilted algebras. We show that an iterated tilted algebra induces an m-cluster tilted algebra. This m-cluster tilted algebra can be seen as a trivial extension of another iterated tilted algebra which is derived equivalent to the original one. We give a procedure to find this new iterated tilted algebra. These m-cluster tilted algebras are quotients of higher relation extensions. (C) 2013 Elsevier Inc. All rights reserved.
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页码：132 / 141
页数：10
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