Generalized commutator formulas

R. Hazrat; Z. Zhang

doi:10.1080/00927871003738964

Generalized commutator formulas

R. Hazrat, Z. Zhang^*

^*此作品的通讯作者

数学学院

Queen's University Belfast

科研成果: 期刊稿件 › 文章 › 同行评审

23 引用（Scopus）

摘要

Let A be an algebra which is a direct limit of module finite algebras over a commutative ring R with 1. Let I, J be two-sided ideals of A, GL_n(A, I) the principal congruence subgroup of level I in GL_n(A), and E_n(A, I) the relative elementary subgroup of level I. Using Bak's localization-patching method, we prove the commutator formula.

源语言	英语
页（从-至）	1441-1454
页数	14
期刊	Communications in Algebra
卷	39
期	4
DOI	https://doi.org/10.1080/00927871003738964
出版状态	已出版 - 4月 2011

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Hazrat, R., & Zhang, Z. (2011). Generalized commutator formulas. Communications in Algebra, 39(4), 1441-1454. https://doi.org/10.1080/00927871003738964

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abstract = "Let A be an algebra which is a direct limit of module finite algebras over a commutative ring R with 1. Let I, J be two-sided ideals of A, GLn(A, I) the principal congruence subgroup of level I in GLn(A), and En(A, I) the relative elementary subgroup of level I. Using Bak's localization-patching method, we prove the commutator formula.",

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AB - Let A be an algebra which is a direct limit of module finite algebras over a commutative ring R with 1. Let I, J be two-sided ideals of A, GLn(A, I) the principal congruence subgroup of level I in GLn(A), and En(A, I) the relative elementary subgroup of level I. Using Bak's localization-patching method, we prove the commutator formula.

KW - Congruence subgroups

KW - Elementary subgroup

KW - General linear group

KW - Localization and patching

KW - Normal structure

KW - Sandwich classification theorems

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Generalized commutator formulas

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