一类域上的线性变换环的群结构

数学季刊 ›› 2005, Vol. 20 ›› Issue (4): 355-359.

一类域上的线性变换环的群结构

1. Department of Mathematics and Information Science, Luoyang Teacher's College, Luoyang 471022, China; 2. Teacher's College, Luoyang University, Luoyang 471039, China

收稿日期:2005-06-16 出版日期:2005-12-30 发布日期:2024-01-03
作者简介:ZHANG Guang-hui(1973-),male,native of Yexian,Henan,a lecturer of Luoyang Teacher's College,M.S.D.,engages in algebra and its applications;SUN Ying-de(1962-),male,native of Huaiyang,Henan, an associate professor of Luoyang University,engages in algebra and number theory.
基金资助:
Supported by the NSF of Educational Department of Henan Province(200510482001)；

On the Group of Units for the Ring of Linear Transformations

1. Department of Mathematics and Information Science, Luoyang Teacher's College, Luoyang 471022, China; 2. Teacher's College, Luoyang University, Luoyang 471039, China

Received:2005-06-16 Online:2005-12-30 Published:2024-01-03
About author:ZHANG Guang-hui(1973-),male,native of Yexian,Henan,a lecturer of Luoyang Teacher's College,M.S.D.,engages in algebra and its applications;SUN Ying-de(1962-),male,native of Huaiyang,Henan, an associate professor of Luoyang University,engages in algebra and number theory.
Supported by:
Supported by the NSF of Educational Department of Henan Province(200510482001)；

摘要/Abstract

摘要： In this paper, we introduce a practical method for obtaining the structure of the group of units for the ring of linear transformations of a vector space over an arbitrary field, and we give a further generalization of the result in [3].

关键词: semidirect product, linear transformation, normal group, basis

Abstract: In this paper, we introduce a practical method for obtaining the structure of the group of units for the ring of linear transformations of a vector space over an arbitrary field, and we give a further generalization of the result in [3].

Key words: semidirect product, linear transformation, normal group, basis

中图分类号:

O151.2

张光辉, 孙应德. 一类域上的线性变换环的群结构[J]. 数学季刊, 2005, 20(4): 355-359.

ZHANG Guang-hui~, SUN Ying-de.

On the Group of Units for the Ring of Linear Transformations

[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(4): 355-359.

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