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- W1966588056 abstract "Let A be a commutative ring and n ≤ 3 a positive integer. In this paper, we consider unimodular rows (f1(x),..., f n (x)) over A[x]. We prove that, if the row of the leading coefficients of f i (x) is unimodular over A and a ɛ A, then there exists β ɛ E n (A[x]) such that (f1(x),...,f n (x))β = (f 1 (a),...,f n (a)). Also, if A is a Noetherian ring with finite Krull dimension and the row of leading coefficients satisfies the same condition, then we give a bound for the length of β in terms of elementary transvections." @default.
- W1966588056 created "2016-06-24" @default.
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- W1966588056 date "2000-04-01" @default.
- W1966588056 modified "2023-09-27" @default.
- W1966588056 title "On Unimodular Rows over Polynomial Rings" @default.
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- W1966588056 doi "https://doi.org/10.1007/s10011-000-0197-8" @default.
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