Galois orders in skew monoid rings

被引：25
|
作者：
Futorny, Vyacheslav [1 ]
Ovsienko, Serge [2 ]
机构：
[1] Univ Sao Paulo, Inst Matemat & Estat, BR-05315970 Sao Paulo, Brazil
[2] Kiev Taras Shevchenko Univ, Fac Mech & Math, UA-01601 Kiev, Ukraine
来源：
JOURNAL OF ALGEBRA | 2010年 / 324卷 / 04期
基金：
巴西圣保罗研究基金会;
关键词：
Galois ring; Galois order; Skew monoid ring; Harish-Chandra subalgebra; MODULES;
D O I：
10.1016/j.jalgebra.2010.05.006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce a new class of noncommutative rings - Galois orders, realized as certain subrings of invariants in skew semigroup rings, and develop their structure theory. The class of Calms orders generalizes classical orders in noncommutative rings and contains many important examples, such as the Generalized Weyl algebras, the universal enveloping algebra of the general linear Lie algebra, associated Yangians and finite W-algebras (C) 2010 Elsevier Inc All rights reserved
引用
收藏
页码：598 / 630
页数：33
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