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On maximal and minimal linear matching property

Aliabadi, M ; Sharif University of Technology | 2013

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  1. Type of Document: Article
  2. Publisher: 2013
  3. Abstract:
  4. The matching basis in field extentions is in-troduced 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
  5. Keywords:
  6. Algebraic number field ; Field extension ; Linear matching property ; Maximal linear matching property ; Minimal linear matching property
  7. Source: Algebra and Discrete Mathematics ; Volume 15, Issue 2 , 2013 , Pages 174-178 ; 17263255 (ISSN)
  8. URL: http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=adm&paperid=419&option_lang=eng