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个人信息Personal Information
教授
博士生导师
硕士生导师
性别：男
毕业院校：哈尔滨工业大学
学位：博士
所在单位：数学科学学院
电子邮箱：jznan@dlut.edu.cn
扫描关注
Ring of invariants of general linear group over local ring Z(p)(m)
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论文类型：期刊论文
发表时间：2011-10-01
发表刊物：FRONTIERS OF MATHEMATICS IN CHINA
收录刊物：Scopus、SCIE
卷号：6
期号：5
页面范围：887-899
ISSN号：1673-3452
关键字：Dickson's theorem; invariant; finite local ring
摘要：Let Z(p)(m) be the ring of integers modulo p(m), where p is a prime and m >= 1. The general linear group GL(n)( Z(p)(m)) acts naturally on the polynomial algebra A(n) := Z(p)(m)[x(1),..., x(n)]. Denote by A(n)(GLn(Zpm)) the corresponding ring of invariants. The purpose of the present paper is to calculate this invariant ring. Our results also generalize the classical Dickson's theorem.