On Maximal and Minimal Linear Matching Property
Combinatorics
2016-10-31 v1 Commutative Algebra
Group Theory
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
Cite
@article{arxiv.1508.00937,
title = {On Maximal and Minimal Linear Matching Property},
author = {Mohsen Aliabadi and Mohammadreza Darafsheh},
journal= {arXiv preprint arXiv:1508.00937},
year = {2016}
}