梯度单项式理想环模扭转的实现

IF 0.6 3区数学 Q3 MATHEMATICS

Algebraic and Geometric Topology Pub Date : 2020-08-21 DOI:10.2140/agt.2023.23.733

Tseleung So, Donald Stanley

引用次数: 2

摘要

设$A$为一个由前导系数为1的单项式所产生的理想的分阶多项式环$\mathbb{Z}[x_1,\cdots,x_m]\otimes\Lambda[y_1,\cdots,y_n]$的商。然后构造了一个空间$X_A$，使得$A$与$H^*(X_A)$模扭转元同构。

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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Realization of graded monomial ideal rings modulo torsion

Let $A$ be the quotient of a graded polynomial ring $\mathbb{Z}[x_1,\cdots,x_m]\otimes\Lambda[y_1,\cdots,y_n]$ by an ideal generated by monomials with leading coefficients 1. Then we constructed a space~$X_A$ such that $A$ is isomorphic to $H^*(X_A)$ modulo torsion elements.

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来源期刊

Algebraic and Geometric Topology 数学-数学

CiteScore

1.10

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Algebraic and Geometric Topology is a fully refereed journal covering all of topology, broadly understood.