An elementary transformation of a special unimodular vector to its top coefficient vector

Rao, Ravi A. (1985) An elementary transformation of a special unimodular vector to its top coefficient vector Proceedings of the American Mathematical Society, 93 (1). pp. 21-24. ISSN 0002-9939

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Official URL: https://www.jstor.org/stable/2044545?seq=1#page_sc...

Related URL: http://dx.doi.org/10.2307/2044545

Abstract

Let R be a commutative ring, v(X) a unimodular n-vector (n ⩾ 3) over R[X]. Suppose the leading coefficients in v(X) form a unimodular vector L(v) over R. Then some element in En(R[X]) will transform v(X) to L(v).

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