广义混合积理想托架幂的Cohen-Macaulayness

IF 0.3 Q4 MATHEMATICS

Acta Mathematica Vietnamica Pub Date : 2021-10-28 DOI:10.1007/s40306-021-00460-z

Roya Moghimipor

引用次数: 0

摘要

设L是由单理想I诱导的广义混合乘积理想。对于每个整数k≥ 1，我们用L[k]表示L的第k次方括号幂。我们研究了L[k]的代数性质，并证明了如果我是Cohen Macaulay。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

On the Cohen-Macaulayness of Bracket Powers of Generalized Mixed Product Ideals

Let L be the generalized mixed product ideal induced by a monomial ideal I. For every integer k ≥ 1, we denote the k th bracket power of L by L^[k]. We study algebraic properties of L^[k], and show that L^[k] is Cohen-Macaulay if I is Cohen-Macaulay.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Acta Mathematica Vietnamica MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： Acta Mathematica Vietnamica is a peer-reviewed mathematical journal. The journal publishes original papers of high quality in all branches of Mathematics with strong focus on Algebraic Geometry and Commutative Algebra, Algebraic Topology, Complex Analysis, Dynamical Systems, Optimization and Partial Differential Equations.