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A mathematical structure for the generalization of conventional algebra

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Central European Journal of Physics

Abstract

An abstract mathematical framework is presented in this paper as a unification of several deformed or generalized algebra proposed recently in the context of generalized statistical theories intended to treat certain complex thermodynamic or statistical systems. It is shown that, from a mathematical point of view, any bijective function can in principle be used to formulate an algebra in which the conventional algebraic rules are generalized.

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Authors and Affiliations

  1. Institut Supérieur des Matériaux et Mécaniques Avancés du Mans, 44 Avenue Bartholdi, 72000, Le Mans, France

    Aziz El Kaabouchi, Laurent Nivanen, Qiuping Alexandre Wang & Alain Le Méhauté

  2. UMR 7575 LECA ENSCP-UPMC, 11 rue P. et M. Curie, 75231, Cedex 05, Paris, France

    Jean Pierre Badiali

Authors
  1. Aziz El Kaabouchi
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  2. Laurent Nivanen
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  3. Qiuping Alexandre Wang
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  4. Jean Pierre Badiali
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  5. Alain Le Méhauté
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Correspondence to Aziz El Kaabouchi.

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El Kaabouchi, A., Nivanen, L., Wang, Q.A. et al. A mathematical structure for the generalization of conventional algebra. centr.eur.j.phys. 7, 549–554 (2009). https://doi.org/10.2478/s11534-009-0046-4

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  • DOI: https://doi.org/10.2478/s11534-009-0046-4

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