| 交换环上高层序与赋值对的相容性 |
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| 引用本文： | 邹群.交换环上高层序与赋值对的相容性[J].南昌航空工业学院学报,2005,19(1):13-16. |
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| 作者姓名： | 邹群 |
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| 作者单位： | 南昌航空工业学院信息与计算科学系,江西,南昌,330034 |
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| 摘 要： | 本文的主要目的是把域上高层序与赋值对的相容性推广到含单位元的交换环上来。本文提出了交换环上高层序与赋值对相容的概念，由此得到高层序与赋值对相容的四个等价条件。本文的关键是藉助于赋值环的凸性来刻划高层序与赋值对的相容性。本文的方法是通过取序的特殊化以及整环的商域，使环的情形下的问题转化到域的情形来解决。
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| 关 键 词： | 环 符号标 赋值对 高层序 相容性 |
| 文章编号： | 1001-4926(2005)01-0013-04 |
| 修稿时间： | 2004年8月10日 |
Compatibility of an ordering of higher level with a valuation pair for a commutative ring |
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| ZOU Qun.Compatibility of an ordering of higher level with a valuation pair for a commutative ring[J].Journal of Nanchang Institute of Aeronautical Technology(Natural Science Edition),2005,19(1):13-16. |
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| Authors: | ZOU Qun |
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| Abstract: | The main aim of this paper is to extend the compatibility of an ordering of higher level with a valuation pair on a field to a commutative ring with unit. We introduce the concept of compatibility of an ordering of higher level with a valuation pair for a commutative ring with u-nit. Then we give four equivalent conditions for an ordering of higher level to be compatible with a valuation pair. It is a key in this paper to characterize the compatibility of an ordering of higher level with a valuation pair by means of the convexity of the valuation ring. The technique of this paper is to convert the problems in the case of rings into that of fields by taking specializations of orderings and the quotient fields of domains. |
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| Keywords: | ring signature valuation pair ordering of higher level compatibility |
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