The general linear group of polynomial rings over regular rings.

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

In this note we shall prove for two types of regular rings A that every element of GLr(A[X1, …, Xn]) is a product of an element of Er(A[X1, …, Xn])(the group of elementary matrices) and an element of GLr(A), for r ≥ 3 and n arbitrary. This is a kind of GLr-analogue of results of Lindel and Mohan-Kumar and is an extension of a result of Suslin.

Original languageEnglish
Pages (from-to)499-509
Number of pages11
JournalCommunications in Algebra
Volume9
Issue number5
DOIs
Publication statusPublished - 1 Jan 1981
Externally publishedYes

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Regular Ring
General Linear Group
Polynomial ring
Elementary matrix
Analogue
Arbitrary

Cite this

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The general linear group of polynomial rings over regular rings. / Vorst, Ton.

In: Communications in Algebra, Vol. 9, No. 5, 01.01.1981, p. 499-509.

Research output: Contribution to JournalArticleAcademicpeer-review

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