On the structure of GL2 over stable range one rings

Pere Menal; Leonid N. Vaserstein

doi:10.1016/0022-4049(90)90154-A

On the structure of GL₂ over stable range one rings

Pere Menal
, Leonid N. Vaserstein

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

Under the first Bass stable range condition on a commutative ring A = 2A, Costa and Keller have described all normal subgroups of SL₂A = E₂A. We generalize this description, dropping the commutativity assumption. Our answer involves quasi-ideals of A rather than ideals (for all commutative rings A = 2A, every quasi-ideal is an ideal).

Original language	English (US)
Pages (from-to)	149-162
Number of pages	14
Journal	Journal of Pure and Applied Algebra
Volume	64
Issue number	2
DOIs	https://doi.org/10.1016/0022-4049(90)90154-A
State	Published - Jun 12 1990

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/0022-4049(90)90154-A

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abstract = "Under the first Bass stable range condition on a commutative ring A = 2A, Costa and Keller have described all normal subgroups of SL2A = E2A. We generalize this description, dropping the commutativity assumption. Our answer involves quasi-ideals of A rather than ideals (for all commutative rings A = 2A, every quasi-ideal is an ideal).",

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AU - Vaserstein, Leonid N.

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Y1 - 1990/6/12

N2 - Under the first Bass stable range condition on a commutative ring A = 2A, Costa and Keller have described all normal subgroups of SL2A = E2A. We generalize this description, dropping the commutativity assumption. Our answer involves quasi-ideals of A rather than ideals (for all commutative rings A = 2A, every quasi-ideal is an ideal).

AB - Under the first Bass stable range condition on a commutative ring A = 2A, Costa and Keller have described all normal subgroups of SL2A = E2A. We generalize this description, dropping the commutativity assumption. Our answer involves quasi-ideals of A rather than ideals (for all commutative rings A = 2A, every quasi-ideal is an ideal).

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UR - https://www.scopus.com/pages/publications/38249017521#tab=citedBy

U2 - 10.1016/0022-4049(90)90154-A

DO - 10.1016/0022-4049(90)90154-A

M3 - Article

AN - SCOPUS:38249017521

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EP - 162

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 2

ER -

On the structure of GL₂ over stable range one rings

Abstract

All Science Journal Classification (ASJC) codes

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