2003/03/31 by L. Nivanen, A. Le Mehaute, A. Le Méhauté +2 · 1 citation
Mathematics · Physics and Astronomy · #math-ph #math.MP
paper · pdf · doi:10.1016/s0034-4877(03)80040-x
published as Reports on Mathematical Physics, 52, 437 (2003) · 11 pages, no figure, TeX. Reports on Mathematical Physics (2003), in press
arxiv created 2003/06/06 · crossref issued 2003/12/01 · crossref published 2003/12/01 · crossref published-print 2003/12/01 · crossref created 2005/02/15 · arxiv updated 2009/11/30 · crossref deposited 2019/01/28 · crossref indexed 2026/08/05
By considering generalized logarithm and exponential functions used in nonextensive statistics, the four usual algebraic operators : addition, subtraction, product and division, are generalized. The properties of the generalized operators are investigated. Some standard properties are preserved, e.g., associativity, commutativity and existence of neutral elements. On the contrary, the distributivity law and the opposite element is no more universal within the generalized algebra.