On maximal and minimal linear matching property

• Date: 2018
• Main Authors: Aliabadi, M., Darafsheh, M. R.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Linear matching property; Algebraic number field; Field extension; Maximal linear matching property; Minimal linear matching property; 12F05
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/741
• Journal Title: Algebra and Discrete Mathematics

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...