| 关于nZ的理想及商环 |
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| 引用本文： | 张隆辉,石化国,赵凤鸣.关于nZ的理想及商环[J].大学数学,2011,27(3):50-52. |
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| 作者姓名： | 张隆辉 石化国 赵凤鸣 |
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| 作者单位： | 四川职业技术学院,数学系,四川,遂宁,629000 |
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| 摘 要： | 给出了nZ的全部理想、极大理想和素理想,并研究了nZ的商环的构造以及为域的条件,解决了Z<,n>的子域的存在和个数问题.
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| 关 键 词： | 理想 极大理想 素理想 商环 域 子域 单素因子 |
On Ideals and Quotient Rings of nZ |
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| ZHANG Long-hui,SHI Hua-guo,ZHAO Feng-ming.On Ideals and Quotient Rings of nZ[J].College Mathematics,2011,27(3):50-52. |
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| Authors: | ZHANG Long-hui SHI Hua-guo ZHAO Feng-ming |
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| Institution: | ZHANG Long-hui,SHI Hua-guo,ZHAO Feng-ming(Department of Mathematics,Sichuan Vocational and Technical College,Suining,Sichuan 629000,China) |
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| Abstract: | All of ideals,maximal ideals and prime ideals of nZ are given in this paper.The construction of quotient rings of nZ and the properties such that the quotient rings are fields are discussed.And the problems about the existence and the number of subfields of Zn are solved. |
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| Keywords: | ideal maximal ideal prime ideal quotient ring field subfield single prime divisor |
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