A mathematical structure for the generalization of the conventional algebra
Statistical Mechanics
2020-10-20 v1
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 mathematical point of view, any bijective function can be used in principle to formulate an algebra in which the conventional algebraic rules are generalized.
Cite
@article{arxiv.0803.1607,
title = {A mathematical structure for the generalization of the conventional algebra},
author = {Aziz El Kaabouchi and Laurent Nivanen and Qiuping A. Wang and Jean-Pierre Badiali and Alain Le Méhauté},
journal= {arXiv preprint arXiv:0803.1607},
year = {2020}
}