A Characterization of Barycentrically Preassociative Functions

作     者：Marichal, Jean-Luc Teheux, Bruno 

作者机构：Univ Luxembourg FSTC Math Res Unit 6 Rue Coudenhove Kalergi L-1359 Luxembourg Luxembourg 

出 版 物：《RESULTS IN MATHEMATICS》 (数学成果)

年 卷 期：2016年第69卷第1-2期

页      面：245-256页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：University of Luxembourg [F1R-MTH-PUL-15MRO3] 

主　　题：Associativity barycentric associativity barycentric preassociativity string functions functional equation axiomatization 

摘      要：We provide a characterization of the variadic functions which are barycentrically preassociative as compositions of length-preserving associative string functions with one-to-one unary maps. We also discuss some consequences of this characterization.