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- W4309041505 abstract "Let $R$ be a commutative Noetherian ring of dimension $d$ and $M$ a commutative cancellative torsion-free seminormal monoid. Then (1) Let $A$ be a ring of type $R[d,m,n]$ and $P$ be a projective $A[M]$-module of rank $r geq max{2,d+1}$. Then the action of $E(A[M] oplus P)$ on $Um(A[M] oplus P)$ is transitive and (2) Assume $(R, m, K)$ is a regular local ring containing a field $k$ such that either $char$ $k=0$ or $ char$ $k = p$ and $tr$-$deg$ $K/mathbb{F}_p geq 1$. Let $A$ be a ring of type $R[d,m,n]^*$ and $fin R$ be a regular parameter. Then all finitely generated projective modules over $A[M],$ $A[M]_f$ and $A[M] otimes_R R(T)$ are free. When $M$ is free both results are due to Keshari and Lokhande." @default.
- W4309041505 created "2022-11-21" @default.
- W4309041505 creator A5028133074 @default.
- W4309041505 creator A5041390536 @default.
- W4309041505 date "2021-04-19" @default.
- W4309041505 modified "2023-10-18" @default.
- W4309041505 title "Unimodular rows over monoid extensions of overrings of polynomial rings" @default.
- W4309041505 doi "https://doi.org/10.48550/arxiv.2104.09383" @default.
- W4309041505 hasPublicationYear "2021" @default.
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