On unimodular rows

Moshe Roitman

doi:10.1090/S0002-9939-1985-0801320-0

On unimodular rows

Moshe Roitman

Department of Mathematics

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

Abstract

We prove here, among other results, that if (x_o,…, x_n) is a unimodular row over a commutative ring A, n≥2, x∈A and x = x_n mod J(Ax_o + …. + Ax_n-2), then (x_o,…., x_n-1, x_n)˜E (x_o,…., x_n-1, x_n).

Original language	English
Pages (from-to)	184-188
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	95
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-1985-0801320-0
State	Published - Oct 1985

ASJC Scopus subject areas

Mathematics (all)
Applied Mathematics

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@article{2c44e1964c264eb5855d79c85bcfd60f,

title = "On unimodular rows",

abstract = "We prove here, among other results, that if (xo,…, xn) is a unimodular row over a commutative ring A, n≥2, x∈A and x = xn mod J(Axo + …. + Axn-2), then (xo,…., xn-1, xn)˜E (xo,…., xn-1, xn).",

author = "Moshe Roitman",

year = "1985",

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doi = "10.1090/S0002-9939-1985-0801320-0",

language = "English",

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journal = "Proceedings of the American Mathematical Society",

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N2 - We prove here, among other results, that if (xo,…, xn) is a unimodular row over a commutative ring A, n≥2, x∈A and x = xn mod J(Axo + …. + Axn-2), then (xo,…., xn-1, xn)˜E (xo,…., xn-1, xn).

AB - We prove here, among other results, that if (xo,…, xn) is a unimodular row over a commutative ring A, n≥2, x∈A and x = xn mod J(Axo + …. + Axn-2), then (xo,…., xn-1, xn)˜E (xo,…., xn-1, xn).

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U2 - 10.1090/S0002-9939-1985-0801320-0

DO - 10.1090/S0002-9939-1985-0801320-0

M3 - Article

AN - SCOPUS:84968489614

SN - 0002-9939

VL - 95

SP - 184

EP - 188

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 2

ER -

On unimodular rows

Abstract

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