| 特殊环的子环、理想和商环 |
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| 引用本文： | 朱一心,海进科. 特殊环的子环、理想和商环[J]. 首都师范大学学报(自然科学版), 2006, 27(6): 1-9 |
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| 作者姓名： | 朱一心 海进科 |
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| 作者单位： | 首都师范大学数学科学学院,北京,100037;青岛大学数学系,青岛,266071 |
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| 摘 要： | 讨论具有交换性、单位元及无零因子等性质的特殊环的有趣例子,以及特殊环对于子环、理想和商环的遗传性,并给出所有可能的97个相关例子.
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| 关 键 词： | 子环 理想 商环 交换环 无零因子环 |
| 收稿时间： | 2005-09-13 |
| 修稿时间： | 2005-09-13 |
Subrings, Ideals and Quotient Rigns of a Special Ring |
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| Zhu Yixin,Hai Jinke. Subrings, Ideals and Quotient Rigns of a Special Ring[J]. Journal of Capital Normal University(Natural Science Edition), 2006, 27(6): 1-9 |
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| Authors: | Zhu Yixin Hai Jinke |
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| Affiliation: | 1 School of Mathematial Science, Captial Normal University, Beijing 100037 2 Department of Mathematics, Qingdao University, Qingdao 266071 |
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| Abstract: | We give here some interested examples of rings possess commutativity,unit or zero factors,and also disscuss the heredity of some special properties of a ring to its subing,ideal and quoteint ring,we thus give out all kind of 97 examples corresponded with different possiblity. |
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| Keywords: | subring ideal quotient ring communicative ring no zero factor ring. |
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