This article is cited in 1 paper

RESEARCH ARTICLE

On maximal and minimal linear matching property

M. Aliabadi^a, M. R. Darafsheh<sup>b

a</sup> Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran
^b School of Mathematics, Statistics and Computer Science, College of Science, University of Tehran, Tehran, Iran

Abstract: 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.

Keywords: Linear matching property, Algebraic number field, Field extension, Maximal linear matching property, Minimal linear matching property.

MSC: 12F05

Received: 03.05.2012
Revised: 15.09.2012

Language: English

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