The non-negative matrices on the ordered division ring and ordered field 关于有序除环与有序域上的非负矩阵
By the way, we introduce the concept " partially ordered field ", and point out some of its properties. 顺带地,我们还引入半序域&概念,并指出其一些性质。
In this article the generalization of the main theory of non-negative matrices to ordered field further to ordered division ring has been given. 本文的目的是把非负阵矩的主要理论推广到有序域乃至有序除环。
We give a new definition of the so-called ordered field which is equivalent to the traditional one, and derive a series of the basic propositions with this new definition. 我们给出一个与传统的全序域定义等价的全序域定义,并由此推导出一系列关于全序域的基本命题。
If the above geometry satisfies also the axioms of order, then we obtain a geometry which is isomorphic to projective geometry over a ordered field. 同构于域上的射影几何,若添加顺序公理,则得到同构于有序域上的射影几何的几何。