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arXiv · 1611.02469

Unimodular Elements in Projective Modules and an analogue of a result of Mandal

Manoj K. Keshari·Md. Ali Zinna
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Abstract

Let $R$ be a Noetherian commutative ring of dimension $n$, $A=R[X_1,\cdots,X_m]$ be a polynomial ring over $R$ and $P$ be a projective $A[T]$-module of rank $n$. Assume that $P/TP$ and $P_f$ both contain a unimodular element for some monic polynomial $f(T)\in A[T]$. Then $P$ has a unimodular element.

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Manoj K. Keshari, Md. Ali Zinna. 2016-11-08. Unimodular Elements in Projective Modules and an analogue of a result of Mandal. https://arxiv.org/abs/1611.02469

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