On Segre Products, F-regularity, and Finite Frobenius Representation Type

IF 0.3 Q4 MATHEMATICS

Acta Mathematica Vietnamica Pub Date : 2023-07-11 DOI:10.1007/s40306-023-00506-4

Anurag K. Singh, Kei-ichi Watanabe

引用次数: 0

Abstract

We study the behavior of various properties of commutative Noetherian rings under Segre products, with a special focus on properties in positive prime characteristic defined using the Frobenius endomorphism. Specifically, we construct normal graded rings of finite Frobenius representation type that are not Cohen-Macaulay.

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关于分段积、f正则性和有限Frobenius表示类型

我们研究了交换诺特环在 Segre 积作用下的各种性质，特别关注正素数特征中使用弗罗贝尼斯内形变定义的性质。具体来说，我们构建了不属于科恩-麦考莱的有限弗罗贝纽斯表示类型的正常分级环。

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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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.