摘要
讨论了周期群与自由群的元素的阶,研究环的加群的元素的阶并建立环的特征数的概念.给出了群的元素的阶概念的两个推广:元素对于子群的阶、半群的元素的阶.
In this paper,the author discusses the order of an element of periodic groups and free groups,studies the order of an element of the additive group of a ring and establishes the concept of the characteristic number of a ring,and gives two popularizations of the order of an element of groups:the order of an element to a subgroup and the order of an element of semigroups.
出处
《泰山学院学报》
2003年第3期1-7,共7页
Journal of Taishan University
关键词
有限群
元素
阶
周期群
自由群
加群
特征数
子群
半群
order of an element of groups
periodic group
free group
additive group of a ring
order of an element to a subgroup
semigroup
