Derivations on commutative regular algebras

被引：4

作者：

Ber A.F. ^{[1
]}

机构：

[1] ISV Solutions

来源：

Siberian Advances in Mathematics | 2011年 / 21卷 / 3期

关键词：

algebraic independence; derivation; regular algebra; von Neumann ring;

D O I：

10.3103/S1055134411030011

中图分类号：

学科分类号：

摘要：

For a regular (in the sense of von Neumann) algebra A over an algebraically closed field of characteristic 0, we describe the linear space D(A) of all derivations on A. The description is obtained in terms of algebraically independent elements of A. In particular, we estimate the dimension of the space D(A), where A = S[0,1] is the algebra of measurable functions on [0,1]. © 2011 Allerton Press, Inc.

引用

页码：161 / 169

页数：8

共 10 条

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