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关于映射的两个导出映射
引用本文:张隆辉.关于映射的两个导出映射[J].哈尔滨师范大学自然科学学报,2011,27(1):9-11.
作者姓名:张隆辉
作者单位:四川职业技术学院
摘    要:设f:A→B是映射,任意C∈2^A,令f1(C)=f(C),任意D∈2^B,令f2(D)=f^-1(D),则称f1,f2是f的导出映射.研究了单射、满射、双射(及其逆)、映射的积的导出映射,并得到了相应的结果.

关 键 词:映射  导出映射  幂集合  单射  满射  双射  逆映射  映射的积

On the Two Induced Mappings of Mapping
Zhang Longhui.On the Two Induced Mappings of Mapping[J].Natural Science Journal of Harbin Normal University,2011,27(1):9-11.
Authors:Zhang Longhui
Institution:Zhang Longhui(Sichuan Vocational and Technical College)
Abstract:Setf:A→B is mapping, axbitary C∈2^A, letf1(C) =f(C), axbitary C∈2^B, letf2(D) =f^-1(D) ,f1 andf2are called induced mapping off. In this article, the induced mappings of injection, surjecfion, bijecfion (and its inverse mapping) , composition of mappings are researched, and the corresponding results are obtained.
Keywords:Mapping  Induced mapping  Power set  Injection  Surjection  Bijection  Inverse mapping  Composition of mappings  
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