On maximal and minimal linear matching property

被引:0
|
作者
Aliabadi, M. [1 ]
Darafsheh, M. B. [1 ]
机构
[1] Sharif Univ Technol, Dept Biol & Mat Sci, Tehran, Iran
来源
ALGEBRA & DISCRETE MATHEMATICS | 2013年 / 15卷 / 02期
关键词
Linear matching property; Algebraic number field; Field extension; Maximal linear matching property; Minimal linear matching property;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The matching basis in field extentions is introduced by S. Eliahou and C. Lecouvey in [2]. In this paper we define the minimal and maximal linear matching property for field extensions and prove that if K is not algebraically closed, then K has minimal linear matching property. In this paper we will prove that algebraic number fields have maximal linear matching property. We also give a shorter proof of a result established in [6] on the fundamental theorem of algebra.
引用
收藏
页码:174 / 178
页数:5
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