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 we will...
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2013 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2013
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/152300 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862714842056491008 |
|---|---|
| author | Aliabadi, M. Darafsheh, M.R. |
| author_facet | Aliabadi, M. Darafsheh, M.R. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-07T17:54:43Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152300 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T17:54:43Z |
| publishDate | 2013 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Aliabadi, M. Darafsheh, M.R. 2019-06-09T15:41:11Z 2019-06-09T15:41:11Z 2013 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. 1726-3255 2010 MSC:12F05. https://nasplib.isofts.kiev.ua/handle/123456789/152300 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On maximal and minimal linear matching property Article published earlier |
| spellingShingle | On maximal and minimal linear matching property Aliabadi, M. Darafsheh, M.R. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152300 |
| work_keys_str_mv | AT aliabadim onmaximalandminimallinearmatchingproperty AT darafshehmr onmaximalandminimallinearmatchingproperty |