简论固定余维中的纯Cohen–Macaulaness

IF 0.3 Q4 MATHEMATICS

Acta Mathematica Vietnamica Pub Date : 2021-07-21 DOI:10.1007/s40306-021-00441-2

M.R. Pournaki, M. Poursoltani, N. Terai, S. Yassemi

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引用次数: 0

摘要

Miller、Novik和Swartz在2011年为任意有限生成模和相干槽轮定义并刻画了余维t中Cohen–Macaulay的概念。不久之后，Hagheii、Yassemi和Zaare Nahandi定义并研究了CMt单复形，这是上述概念的纯版本，自然地推广了Cohen–Macaulay和Buchsbaum性质。本文的目的是简要综述CMt单纯复形的最新结果。

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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A Brief Survey on Pure Cohen–Macaulayness in a Fixed Codimension

A concept of Cohen–Macaulay in codimension t is defined and characterized for arbitrary finitely generated modules and coherent sheaves by Miller, Novik, and Swartz in 2011. Soon after, Haghighi, Yassemi, and Zaare-Nahandi defined and studied CM_t simplicial complexes, which is the pure version of the abovementioned concept and naturally generalizes both Cohen–Macaulay and Buchsbaum properties. The purpose of this paper is to survey briefly recent results of CM_t simplicial complexes.

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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.