Completing unimodular rows to invertible matrices

Moshe Roitman

doi:10.1016/0021-8693(77)90280-0

Completing unimodular rows to invertible matrices

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

Abstract

Using ideas of Suslin-Vaserštein we prove some results concerning completing a unimodular row to an invertible matrix. For example, if A is a polynomial ring over a field in any number of indeterminates, then any unimodular row over A of length m ≥ n + 2 in which appears a polynomial in n indeterminates is completable to a matrix in E_m(A).

Original language	English
Pages (from-to)	206-211
Number of pages	6
Journal	Journal of Algebra
Volume	49
Issue number	1
DOIs	https://doi.org/10.1016/0021-8693(77)90280-0
State	Published - Nov 1977
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/0021-8693(77)90280-0

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abstract = "Using ideas of Suslin-Vaser{\v s}tein we prove some results concerning completing a unimodular row to an invertible matrix. For example, if A is a polynomial ring over a field in any number of indeterminates, then any unimodular row over A of length m ≥ n + 2 in which appears a polynomial in n indeterminates is completable to a matrix in Em(A).",

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AB - Using ideas of Suslin-Vaserštein we prove some results concerning completing a unimodular row to an invertible matrix. For example, if A is a polynomial ring over a field in any number of indeterminates, then any unimodular row over A of length m ≥ n + 2 in which appears a polynomial in n indeterminates is completable to a matrix in Em(A).

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DO - 10.1016/0021-8693(77)90280-0

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Completing unimodular rows to invertible matrices

Abstract

ASJC Scopus subject areas

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