On maximal and minimal linear matching property
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...
Збережено в:
| Дата: | 2018 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
|
| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/741 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543069650812928 |
|---|---|
| author | Aliabadi, M. Darafsheh, M. R. |
| author_facet | Aliabadi, M. Darafsheh, M. R. |
| author_sort | Aliabadi, M. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-26T00:55:03Z |
| description | 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. |
| first_indexed | 2025-12-02T15:32:24Z |
| format | Article |
| id | admjournalluguniveduua-article-741 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:32:24Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-7412018-04-26T00:55:03Z On maximal and minimal linear matching property Aliabadi, M. Darafsheh, M. R. Linear matching property, Algebraic number field, Field extension, Maximal linear matching property, Minimal linear matching property 12F05 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. Lugansk National Taras Shevchenko University 2018-04-26 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/741 Algebra and Discrete Mathematics; Vol 15, No 2 (2013) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/741/272 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | Linear matching property Algebraic number field Field extension Maximal linear matching property Minimal linear matching property 12F05 Aliabadi, M. Darafsheh, M. R. On maximal and minimal linear matching property |
| title | On maximal and minimal linear matching property |
| title_full | On maximal and minimal linear matching property |
| title_fullStr | On maximal and minimal linear matching property |
| title_full_unstemmed | On maximal and minimal linear matching property |
| title_short | On maximal and minimal linear matching property |
| title_sort | on maximal and minimal linear matching property |
| topic | Linear matching property Algebraic number field Field extension Maximal linear matching property Minimal linear matching property 12F05 |
| topic_facet | Linear matching property Algebraic number field Field extension Maximal linear matching property Minimal linear matching property 12F05 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/741 |
| work_keys_str_mv | AT aliabadim onmaximalandminimallinearmatchingproperty AT darafshehmr onmaximalandminimallinearmatchingproperty |