多项式扩展中理想的投影生成

IF 0.3 4区数学 Q4 MATHEMATICS

Journal of Commutative Algebra Pub Date : 2020-09-01 DOI:10.1216/jca.2020.12.333

M. Keshari, Md. Ali Zinna

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引用次数: 0

摘要

设R为特征为0的域上一个n≥3维的仿射域。设L是秩为1的投影R[T]模，I∧R[T]是高度为n的局部完全交理想。设I/I是L⊕R[T]n−1的满射像。本文研究了在什么条件下I是排位为n且行列式为L的射影R[T]-模P的满像。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Projective generation of ideals in polynomial extensions

Let R be an affine domain of dimension n ≥ 3 over a field of characteristic 0. Let L be a projective R[T ]-module of rank 1 and I ⊂ R[T ] a local complete intersection ideal of height n. Assume that I/I is a surjective image of L⊕R[T ]n−1. This paper examines under what conditions I is a surjective image of a projective R[T ]-module P of rank n with determinant L.

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来源期刊

Journal of Commutative Algebra MATHEMATICS-

CiteScore

0.80

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Commutative Algebra publishes significant results in the area of commutative algebra and closely related fields including algebraic number theory, algebraic geometry, representation theory, semigroups and monoids. The journal also publishes substantial expository/survey papers as well as conference proceedings. Any person interested in editing such a proceeding should contact one of the managing editors.