| Quantale中理想与同余的对应关系 |
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| 引用本文： | 赵晔,王昌.Quantale中理想与同余的对应关系[J].东北师大学报(自然科学版),2012,44(3):52-54. |
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| 作者姓名： | 赵晔 王昌 |
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| 作者单位： | 1. 西安工业大学理学院,陕西西安,710032
2. 西北大学数学与科学史研究中心,陕西西安,710127 |
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| 基金项目： | 国家自然科学基金资助项目(11001217,11171271);西北大学研究生自主创新基金资助项目(10YZZ05) |
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| 摘 要： | 讨论了Quantale中理想和同余的各种关系,指出与环中得到的理想和同余之间的关系不同,Quantale不存在这种一一对应,找出了理想和右侧元之间的对应关系.同时,给出了Quantale中的具体同余关系的一个实例,深入研究了对应不同的理想,可分别得到恒等同余、单纯同余以及其他不同类型的不同对应表示.并且对理想、同余和态射之间的关系做出了讨论.
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| 关 键 词： | Quantale 理想 同余 右侧元 等价关系 同构 |
The corresponding relationship of ideal and congruence in quantale |
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| ZHAO Ye
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WANG Chang.The corresponding relationship of ideal and congruence in quantale[J].Journal of Northeast Normal University (Natural Science Edition),2012,44(3):52-54. |
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| Authors: | ZHAO Ye WANG Chang |
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| Institution: | 1.College of Science,Xi’an Technological University,Xi’an 710032,China; 2.Center for the History of Mathematics and Science,Northwest University,Xi’an 710127,China) |
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| Abstract: | In this paper,we discuss some relations of ideal and congruence in quantale,and point out the fact that it is different from the relation between ideal and congruence in the ring,there is no the corresponding relation in quantale.Moreover,the relation of their one to one is found by us.At the same time,this paper takes out an example of quantale’s congruence and studies intensively we can receive identical equal congruence,simple congruence and other different style ideals.And,we discuss the relations of ideal,congruence and morphism. |
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| Keywords: | Quantale ideal congruence right element equivalent relation isomorphism |
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