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Algebra and Discrete Mathematics, 2013, Volume 15, Issue 2, Pages 174–178
(Mi adm419)
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This article is cited in 1 scientific paper (total in 1 paper)
RESEARCH ARTICLE
On maximal and minimal linear matching property
M. Aliabadia, M. R. Darafshehb a 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.
Received: 03.05.2012 Revised: 15.09.2012
Citation:
M. Aliabadi, M. R. Darafsheh, “On maximal and minimal linear matching property”, Algebra Discrete Math., 15:2 (2013), 174–178
Linking options:
https://www.mathnet.ru/eng/adm419 https://www.mathnet.ru/eng/adm/v15/i2/p174
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Abstract page: | 147 | Full-text PDF : | 66 | References: | 28 |
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