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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On unimodular rows
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by Moshe Roitman PDF
Proc. Amer. Math. Soc. 95 (1985), 184-188 Request permission

Abstract:

We prove here, among other results, that if $({x_0}, \ldots ,{x_n})$ is a unimodular row over a commutative ring $A$, $n \geqslant 2$, $x \in A$ and \[ x \equiv {x_n}\quad \mod J(A{x_0} + \cdots + A{x_{n - 2}})\] then $({x_0}, \ldots ,{x_{n - 1}},{x_n}){ \sim _E}({x_0}, \ldots ,{x_{n - 1}},x)$.
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Additional Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 95 (1985), 184-188
  • MSC: Primary 13D15; Secondary 18F25, 19A13, 19B10
  • DOI: https://doi.org/10.1090/S0002-9939-1985-0801320-0
  • MathSciNet review: 801320