A mathematical structure for the generalization of conventional algebra

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...

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Veröffentlicht in:	Central European journal of physics 2009-09, Vol.7 (3), p.549-554
Hauptverfasser:	El Kaabouchi, Aziz, Nivanen, Laurent, Wang, Qiuping Alexandre, Badiali, Jean Pierre, Le Méhauté, Alain
Format:	Artikel
Sprache:	eng
Schlagworte:	02.10.-v 02.50.-r Biological and Medical Physics Biophysics deformed algebra Environmental Physics generalized algebra Geophysics/Geodesy Physical Chemistry Physics Physics and Astronomy Research Article statistical systems
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Beschreibung
Zusammenfassung:	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.
ISSN:	1895-1082 2391-5471 1644-3608 2391-5471
DOI:	10.2478/s11534-009-0046-4