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A mathematical structure for the generalization of conventional algebra

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Kaabouchi A., Nivanen L., Wang Q., Badiali J., Méhauté A.
Open Physics
|
2009
|
vol. 7
|
issue 3
549-554
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.
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