A mathematical structure for the generalization of conventional algebra

• Authors: Aziz Kaabouchi , Laurent Nivanen , Qiuping Wang , Jean Badiali , Alain Méhauté
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

deformed algebra; generalized algebra; statistical systems

Discipline

• 02.: Mathematical methods in physics
• 02.10.-v: Logic, set theory, and algebra
• 02.50.-r: Probability theory, stochastic processes, and statistics(see also section 05 Statistical physics, thermodynamics, and nonlinear dynamical systems)

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2009
• Volume: 7
• Issue: 3
• Pages: 549-554

Dates

published

1 - 9 - 2009

online

25 - 6 - 2009

Contributors

author

Aziz Kaabouchi

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

author

Laurent Nivanen

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

author

Qiuping Wang

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

author

Jean Badiali

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

author

Alain Méhauté

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

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Identifiers

DOI

10.2478/s11534-009-0046-4