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- W2953384093 abstract "Let $R$ be an affine algebra over an algebraically closed field of characteristic $0$ with dim$(R)=n$. Let $P$ be a projective $A=R[T_1,cdots,T_k]$-module of rank $n$ with determinant $L$. Suppose $I$ is an ideal of $A$ of height $n$ such that there are two surjections $alpha:Pto!!!to I$ and $phi:Loplus A^{n-1} to!!!to I$. Assume that either (a) $k=1$ and $ngeq 3$ or (b) $k$ is arbitrary but $ngeq 4$ is even. Then $P$ has a unimodular element." @default.
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- W2953384093 date "2016-11-08" @default.
- W2953384093 modified "2023-09-27" @default.
- W2953384093 title "Existence of unimodular elements in a projective module" @default.
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