On maximal and minimal linear matching property

• Дата: 2018
• Автори: Aliabadi, M., Darafsheh, M. R.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: Linear matching property; Algebraic number field; Field extension; Maximal linear matching property; Minimal linear matching property; 12F05
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/741
• Назва журналу: 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...