The Jacobian algebras

被引:11
|
作者
Bavula, V. V. [1 ]
机构
[1] Univ Sheffield, Dept Pure Math, Sheffield S3 7RH, S Yorkshire, England
关键词
WEYL; MODULES; HOMOLOGY;
D O I
10.1016/j.jpaa.2008.08.010
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A new class of algebras (the Jacobian algebras) is introduced and studied in detail. The Jacobian algebras are obtained from the Weyl algebras by inverting (not in the sense of Ore) certain elements. Surprisingly, the Jacobian algebras and the Weyl algebras have little in common. Moreover, they have almost opposite properties. (C) 2008 Elsevier B.V. All rights reserved.
引用
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页码:664 / 685
页数:22
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