论文标题
正式的朗文系列戒指和Hermite Ring猜想
Formal Laurent series rings and the Hermite ring conjecture
论文作者
论文摘要
我们研究一个问题是否扩展了正式的laurent系列环的投影模块。我们将这个问题与低音Quillen的猜想联系起来，以换取通用的常规局部环，并将其与Hermite环的猜想有关。利用我们对正式laurent系列环的投影模块的结果，我们证明了Hermite环的猜想是一个减少步骤。我们表明，当且仅当它适用于完整的交点环时，HERMITE环的猜想都适用于所有交换局部环时，这也是独特的分解域。
We study the question if projective modules over formal Laurent series rings are extended. We relate this question to the Bass-Quillen conjecture for commutative regular local rings and to the Hermite ring conjecture for all commutative local rings. Using our result about projective modules over formal Laurent series rings, we prove a reduction step for the Hermite ring conjecture. We show that the Hermite ring conjecture holds for all commutative local rings if and only if it holds for complete intersection rings which are also unique factorization domains.
