| 幂等左侧余Quantale的特征 |
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| 引用本文： | 赵晔,王昌,宋轶文,刘娅娅.幂等左侧余Quantale的特征[J].纯粹数学与应用数学,2011,27(3):334-338. |
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| 作者姓名： | 赵晔 王昌 宋轶文 刘娅娅 |
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| 作者单位： | 1. 西安工业大学数理系,陕西西安710032;西北大学数学系,陕西西安710069
2. 西北大学数学系,陕西西安,710069 |
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| 基金项目： | 陕西省自然科学基金(2009JM1017); 陕西省教育厅专项基金(09JK506); 西北大学研究生自主创新资助项目(10YZZ05,09YJC33) |
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| 摘 要： | 更好地讨论Quantale这一崭新数学分支的各种性质;给出幂等余Quantale及幂等左侧余Quantale的定义;幂等左侧余Quantale既是子余Quantale又是商余Quantale;且其补集是简单余Quantale;幂等余Quantale具有和其他Quantale类似的一些性质,并且与简单余Quantale也...
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| 关 键 词： | 余Quantale 幂等余Quantale 同余关系 |
The characters of idempotent left Coquantale |
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| ZHAO Ye,WANG Chang,SONG Yi-wen,LIU Ya-ya.The characters of idempotent left Coquantale[J].Pure and Applied Mathematics,2011,27(3):334-338. |
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| Authors: | ZHAO Ye WANG Chang SONG Yi-wen LIU Ya-ya |
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| Institution: | ZHAO Ye1,2,WANG Chang2,SONG Yi-wen2,LIU Ya-ya2(1.Department of Mathematics and Physics of Xi'an Technological University,Xi'an 710032,China,2.Department of Mathematics,Northwest University,Xi'an 710069,China) |
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| Abstract: | The aim of this paper is to discuss some properities of this new embrachment.The definition of idempotent left coquantale is given.Result idempotent left coquantale has the same properities to other quantale,and it has relation to simple coquantale.The idempotent left coquantale is not only subcoquantale but also quotient coquantale,and its complete is simple coquantale.Idempotent left coquantale belongs to a embrachment of topology and it has research significance. |
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| Keywords: | Quantale idempotent coquantale cogruence |
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