Geodesic
On maximal and minimal linear matching property
Algebra and discrete mathematics, Tome 15 (2013) no. 2, pp. 174-178

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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. 
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     author = {M. Aliabadi and M. R. Darafsheh},
     title = {On maximal and minimal linear matching property},
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     year = {2013},
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     url = {http://geodesic.mathdoc.fr/item/ADM_2013_15_2_a3/}
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M. Aliabadi; M. R. Darafsheh. On maximal and minimal linear matching property. Algebra and discrete mathematics, Tome 15 (2013) no. 2, pp. 174-178. http://geodesic.mathdoc.fr/item/ADM_2013_15_2_a3/