Stefan同调谱序列的新构造

doi:10.13371/j.cnki.chin.q.j.m.2026.01.005

数学季刊 ›› 2026, Vol. 41 ›› Issue (1): 60-67.doi: 10.13371/j.cnki.chin.q.j.m.2026.01.005

Stefan同调谱序列的新构造

School of Mathematics, Yangzhou University, Yangzhou 225002, China

收稿日期:2025-06-27 出版日期:2026-03-30 发布日期:2026-03-30
作者简介:LIU Li-yu (1984-), male, native of Jiangsu, associate professor of Yangzhou University, engages in algebra.
基金资助:
Supported by National Natural Science Foundation of China (Grant No. 11971418).

A New Construction of Stefan’s Homological Spectral Sequence

School of Mathematics, Yangzhou University, Yangzhou 225002, China

Received:2025-06-27 Online:2026-03-30 Published:2026-03-30
About author:LIU Li-yu (1984-), male, native of Jiangsu, associate professor of Yangzhou University, engages in algebra.
Supported by:
Supported by National Natural Science Foundation of China (Grant No. 11971418).

摘要/Abstract

摘要： In this paper, we offer a new construction of Stefan’s homological spectral sequence for Hopf Galois extensions, by using the double complex argument. Under the faithfully flat condition, a method for computation of Hochschild homology is given.

关键词: Hopf algebra, Hopf Galois extension, spectral sequence, Hochschild homology

Abstract: In this paper, we offer a new construction of Stefan’s homological spectral sequence for Hopf Galois extensions, by using the double complex argument. Under the faithfully flat condition, a method for computation of Hochschild homology is given.

Key words: Hopf algebra, Hopf Galois extension, spectral sequence, Hochschild homology

中图分类号:

O154.2

刘立宇. Stefan同调谱序列的新构造[J]. 数学季刊, 2026, 41(1): 60-67.

LIU Li-yu. A New Construction of Stefan’s Homological Spectral Sequence[J]. Chinese Quarterly Journal of Mathematics, 2026, 41(1): 60-67.

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Stefan同调谱序列的新构造

A New Construction of Stefan’s Homological Spectral Sequence

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