The Journal of the Indian Mathematical Society

On Completable Unimodular Row over a Polynomial Ring


Affiliations

  • Motilal Nehru National Institute of Technology, Department of Mathematics, Allahabad, India

Abstract

Let A be a ring and f1(X), · · · ,fn(X) be a unimodular row over A[X] with f1(X) monic. Then we can find a matrix which can be connected to the identity matrix taking the column (f1, · · · , fn)T to (1, 0, · · ·,0)T. In this paper we have given two elementary proofs of this result.

Keywords

Polynomial Ring, Matrix, Unimodular Row.

Subject Discipline

Mathematical Sciences

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