A classification of barycentrically associative polynomial functions

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• 作者：Jean-Luc Marichal ; Pierre Mathonet ; J?rg Tomaschek
• 关键词：Primary 39B72 ; Secondary 13B25 ; 26B35 ; Barycentric associativity ; decomposability ; polynomial function ; integral domain
• 刊名：Aequationes Mathematicae
• 出版年：2015
• 出版时间：October 2015
• 年：2015
• 卷：89
• 期：5
• 页码：1281-1291
• 全文大小：465 KB
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• 作者单位：Jean-Luc Marichal (1)
  Pierre Mathonet (2)
  J?rg Tomaschek (1)
  
  1. Mathematics Research Unit, FSTC University of Luxembourg, 6, rue Coudenhove-Kalergi, 1359, Luxembourg, Luxembourg
  2. Department of Mathematics, University of Liège, Grande Traverse, 12-B37, 4000, Liege, Belgium
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Analysis
  Combinatorics
  
• 出版者：Birkh盲user Basel
• ISSN：1420-8903

文摘

We describe the class of polynomial functions which are barycentrically associative over an infinite commutative integral domain. Keywords Barycentric associativity decomposability polynomial function integral domain