Generalization of the Artin-Hasse logarithm for the Milnor -groups of -rings

IF 0.8 4区数学 Q2 MATHEMATICS

Sbornik Mathematics Pub Date : 2021-01-01 DOI:10.1070/SM9520

D. N. Tyurin

引用次数: 0

Abstract

Let be a -adically complete ring equipped with a -structure. We construct a functorial group homomorphism from the Milnor -group to the quotient of the -adic completion of the module of differential forms . This homomorphism is a -adic analogue of the Bloch map defined for the relative Milnor -groups of nilpotent extensions of rings of nilpotency degree for which the number is invertible. Bibliography: 12 titles.

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-环的Milnor群的Artin-Hasse对数的推广

假设是一个基本完整的环，配有一个结构。我们构造了一个从Milnor群到微分形式模的-进补全商的泛函群同态。这个同态是为幂零度环的幂零扩展的相对Milnor群所定义的Bloch映射的一个-进类比，其数是可逆的。参考书目:12篇。

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

Sbornik Mathematics 数学-数学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. The journal has always maintained the highest scientific level in a wide area of mathematics with special attention to current developments in: Mathematical analysis Ordinary differential equations Partial differential equations Mathematical physics Geometry Algebra Functional analysis