Another characterization of tilted algebras

被引:0
作者
Shiping Liu
机构
[1] Université de Sherbrooke,Département de Mathématiques
来源
Archiv der Mathematik | 2015年 / 104卷
关键词
16G70; 16G20; 16E10; Artin algebras; Irreducible maps; Almost split sequences; Auslander–Reiten quiver; Tilting modules; Tilted algebras; Slices; Sections; Cuts;
D O I
暂无
中图分类号
学科分类号
摘要
We give a new characterization of tilted algebras by the existence of certain special subquivers in their Auslander–Reiten quiver. This result includes the existent characterizations of this kind and yields a way to obtain more tilted quotient algebras from a given algebra.
引用
收藏
页码:111 / 123
页数:12
相关论文
共 30 条
  • [1] Assem I.(2009)Left sections and the left part of an artin algebra Colloq Math. 116 273-300
  • [2] Assem I.(2008)Cluster-tilted algebras and slices J. Algebra. 319 3464-3479
  • [3] Brüstle T.(1983)Nonexistent cycles Comm. Algebra. 11 1755-1767
  • [4] Schiffler R.(1988)Some charcaterizations of tilted algebras, Math Scand. 63 43-50
  • [5] Bautista R.(1982)Tilted algebras Trans Amer Math Soc. 274 399-443
  • [6] Smalø S.O.(1970)On categories of indecomposable modules I Osaka J. Math. 7 323-344
  • [7] Bakke Ø.(2013)Tilted algebras and short chains of modules Math. Z. 273 19-27
  • [8] Happel D.(2012)On Auslander–Reiten components of algebras without external short paths J. London Math. Soc. 85 245-268
  • [9] Ringel C. M.(1992)Degrees of irreducible maps and the shapes of Auslander–Reiten quivers J London Math Soc. 45 32-54
  • [10] Harada M.(1993)The connected components of the Auslander–Reiten quiver of a tilted algebra J Algebra. 161 505-523