Commutative semigroups and a generalization of the concept of mean

Author： Biasi C.   Zuffi E.M.  

Publisher： Taylor & Francis Ltd

ISSN： 1464-5211

Source： International Journal of Mathematical Education in Science and Technology, Vol.36, Iss.5, 2005-07, pp. : 566-572

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

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Abstract

The main purpose in this note is to provide a generalization of the concept of mean, using the algebraic structure of commutative semigroups. Also, the pedagogical aim is to discuss with undergraduate math students the idea of generalizing a concept or a structure as a typical mathematical activity.

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