Induction and Auslander-Reiten sequences over crossed products

被引：0
|
作者：
Theohari-Apostolidi, T [1 ]
Vavatsoulas, H [1 ]
机构：
[1] Aristotelian Univ Salonika, Dept Math, Thessaloniki 54006, Greece
来源：
FORMAL POWER SERIES AND ALGEBRAIC COMBINATORICS | 2000年
关键词：
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main aim of this paper is to study the Auslander-Reiten sequences in modR * G, the category of finitely generated left R * G-modules, where R * G is the crossed product of a finite group G over an artinian ring R. Especially we are interested on the behavior of the Auslander-Reiten sequences under the induction and restriction functors in accordance to a normal subgroup H of G.
引用
收藏
页码：765 / 774
页数：10
相关论文
共 50 条
  • [41] Shapes of Auslander-Reiten Triangles
    Alvares, Edson Ribeiro
    Fernandes, Sonia Maria
    Giraldo, Hernan
    ALGEBRAS AND REPRESENTATION THEORY, 2020, 23 (06) : 2257 - 2274
  • [42] A Note on the Auslander-Reiten Conjecture
    Deng Ming XU
    ActaMathematicaSinica, 2013, 29 (10) : 1993 - 1996
  • [43] TRISECTION IN THE AUSLANDER-REITEN QUIVER
    Coelho, Flavio U.
    COLLOQUIUM MATHEMATICUM, 2022, 170 (01) : 79 - 83
  • [44] On the Auslander-Reiten conjecture for algebras
    Bahlekeh, Abdolnaser
    Fallah, Ali Mahin
    Salarian, Shokrollah
    JOURNAL OF ALGEBRA, 2015, 427 : 252 - 263
  • [45] A TRISECTION IN THE AUSLANDER-REITEN QUIVER
    Coelho, Flavio U.
    COLLOQUIUM MATHEMATICUM, 2022,
  • [46] Auslander-Reiten Numbers Games
    Shmuel Zelikson
    Algebras and Representation Theory, 2018, 21 : 277 - 307
  • [47] Shapes of Auslander-Reiten Triangles
    Edson Ribeiro Alvares
    Sônia Maria Fernandes
    Hernán Giraldo
    Algebras and Representation Theory, 2020, 23 : 2257 - 2274
  • [48] DIRECTING COMPONENTS OF AN AUSLANDER-REITEN QUIVER
    ZHANG, P
    SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 1993, 36 (03): : 265 - 274
  • [49] Specht modules in the Auslander-Reiten quiver
    Danz, Susanne
    Erdmann, Karin
    JOURNAL OF ALGEBRA, 2014, 397 : 343 - 364
  • [50] THE AUSLANDER-REITEN CONJECTURE FOR GORENSTEIN RINGS
    Araya, Tokuji
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 137 (06) : 1941 - 1944
12345