On maximal and minimal linear matching property

• Published in: Algebra and Discrete Mathematics
• Date: 2013
• ISSN: 1726-3255
• Main Authors: Aliabadi, M., Darafsheh, M.R.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152300
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On maximal and minimal linear matching property / M. Aliabadi, M.R. Darafsheh // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 2. — С. 174–178. — Бібліогр.: 7 назв. — англ.

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...