Representations of ordered semigroups and the Physical concept of Entropy

Juan C. Candeal; Juan R. de Miguel; Esteban Induráin; Ghansyam B. Mehta

doi:10.4995/agt.2004.1992

Authors

Juan C. Candeal Universidad de Zaragoza
Juan R. de Miguel Universidad Pública de Navarra
Esteban Induráin Universidad Pública de Navarra
Ghansyam B. Mehta University of Queensland

DOI:

https://doi.org/10.4995/agt.2004.1992

Keywords:

Topological ordered sets, Utility functions, Entropy, Semigroups

Abstract

The abstract concept of entropy is interpreted through the concept of numerical representation of a totally preordered set so that the concept of composition of systems or additivity of entropy can be analyzed through the study of additive representations of totally ordered semigroups.

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Author Biographies

Juan C. Candeal, Universidad de Zaragoza

Departamento de AnálisisEconómico

Juan R. de Miguel, Universidad Pública de Navarra

Departamento de Matemática e Informática

Esteban Induráin, Universidad Pública de Navarra

Departamento de Matemática e Informática

Ghansyam B. Mehta, University of Queensland

Departament of Economics

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