摘要
在讨论代数结构抽象性的基础上引入了反映代数结构的类数(随基数)变化情况的伴随函数的概念;然后主要利用对合自同构和直积,从给定结构之内、外两个方面的变换出发,给出了构造具有相同伴随函数的代数结构的两种方法;并指出,伴随函数的概念有助于拓广人们对代数结构的认识;文末一般地提出了代数结构函数论的研究问题。
The concept of the class-function of algebraic structure is introduced and two ways of constructing the algebraic structure which has the same class-function with the given structure are given out, that the class-function benefits extending the concept of algebraic structure is pointed out. At the end of this paper, the problem of researching the functions relating to algebraic structure is brought forward.
出处
《曲阜师范大学学报（自然科学版）》
CAS
1993年第3期37-45,共9页
Journal of Qufu Normal University(Natural Science)
基金
河北大学自然科学基金
关键词
代数结构
伴随函数
对合自同构
分段定义法
the class-function of algebraic structure
involutive automorp hism
direct product
the way of definition algebraic structure by parts
the functions relating to algebraic structure
