| 代数结构的伴随函数研究 |
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| 引用本文： | 阴东升.代数结构的伴随函数研究[J].曲阜师范大学学报,1993,19(3):37-45. |
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| 作者姓名： | 阴东升 |
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| 作者单位： | 河北大学生物系 071002 |
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| 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。
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| 关 键 词： | 代数结构 伴随函数 对合自同构 分段定义法 |
A RESEARCH ON CLASS-FUNCTION OF ALGEBRAIC STRUCTURE |
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| Yin Dongsheng.A RESEARCH ON CLASS-FUNCTION OF ALGEBRAIC STRUCTURE[J].Journal of Qufu Normal University(Natural Science),1993,19(3):37-45. |
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| Authors: | Yin Dongsheng |
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| Institution: | Yin Dongsheng Department of Biology,Hebei University,071002,Baoding,Hebei,PRC |
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| Abstract: | 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. |
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| Keywords: | 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 |
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