基本介紹
- 中文名:序域
- 外文名:ordered field
- 簡介:有序結構的域
- 所屬學科:數學
- 所屬問題:域論(序域)
基本介紹
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相關概念與定理
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序域(ordered field)是一種特殊的域,它是有序結構的域。一個域F,若在它的元素之間存在一個二元關係>,滿足下述條件:1.對於任意a∈F,必有a=0或a>0或-a>...
高層序域的實閉包(real closure of an ordered field of higher level)是指序域的實閉包在高層序域上的推廣。這類實閉包保留普通實閉包的一些特性,但在某些方面...
子域上阿基米德序域(Archimedean orderedfield over a subfield)是一類相對於子域具有特殊性質的序域。...
稱滿足公理組I的集為域;滿足公理組I與II的集為有序域;滿足公理組I,II與(III)(1)的集為阿基米德有序域;滿足公理組I~III的集為完備阿基米德有序域或完備有...
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矩陣格序環(matrix lattice-ordered ring)具有格序結構的矩陣環.設風(K)是序域K上n階全陣環,若定義(<a;;)axn<
稱滿足公理組I的集為域;滿足公理組I與II的集為有序域;滿足公理組I,II與(III)(1)的集為阿基米德有序域;滿足公理組I~III的集為完備阿基米德有序域或完備有...
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非降序列是一種特殊的數列。通常非降序列的元素定義在有序域上,每一項不小於它的前一項。非降序列通常指無窮序列。 例如:定義在實數域上的非降序列 1,2,3,4...
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