| Prequantale同余及其性质 |
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| 引用本文： | 王顺钦,赵彬. Prequantale同余及其性质[J]. 数学进展, 2005, 34(6): 746-752 |
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| 作者姓名： | 王顺钦 赵彬 |
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| 作者单位： | 陕西师范大学数学与信息科学学院,西安,陕西,710062 |
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| 基金项目： | 高等学校优秀青年教师教学科研奖励计划资助项目（教人司[2000]26号）;国家自然科学基金资助项目（No.10271069）. |
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| 摘 要： | 本文给出了Prequantale同余的概念，讨论了它与Prequantale商和核映射之问的关系，得到了Prequantale上的全体商、全体核映射和全体同余作为完备格是同构的结论．找到了与同余相对应的商的具体结构．证明了Prequantale范畴有余等子．
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| 关 键 词： | Prequantale Prequaatale同余 Prequantale商 核映射 |
| 文章编号： | 1000-0917（2005）06-0746-07 |
| 收稿时间： | 2003-07-16 |
| 修稿时间： | 2003-12-09 |
Prequantale Congruence and Its Properties |
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| WANG Shun-qin,ZHAO Bin. Prequantale Congruence and Its Properties[J]. Advances in Mathematics(China), 2005, 34(6): 746-752 |
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| Authors: | WANG Shun-qin ZHAO Bin |
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| Abstract: | The prequantic congruence is introduced, the relation between a prequantic quotient and the nucleus is investigated. The conclusion that all quotients, all nuclei and all congruences of a prequantale are isomorphism is obtained. The concrete structure of quotient induced by a congruence is considered. Finally, as an application of congruence, we show the prequantale category has coequalizcrs. |
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| Keywords: | prequantale prequantic congruence prequantic quotient nucleus |
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