Geodesic
Symmetric m-convex algebras without algebraic zero-divisors and results of Gelfand-Mazur type
M. A. Nejjari1 ; M. A. Nejjari
1CRMEF Oujda
Acta mathematica Universitatis Comenianae, Tome 86 (2017) no. 2, pp. 329-333 
M. A. Nejjari; M. A. Nejjari. Symmetric m-convex algebras without algebraic zero-divisors and results of Gelfand-Mazur type. Acta mathematica Universitatis Comenianae, Tome 86 (2017) no. 2, pp. 329-333. http://geodesic.mathdoc.fr/item/AMUC_2017_86_2_a12/
@article{AMUC_2017_86_2_a12,
     author = {M. A. Nejjari and M. A. Nejjari},
     title = { Symmetric m-convex algebras without algebraic zero-divisors and results of {Gelfand-Mazur} type},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {329--333},
     year = {2017},
     volume = {86},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2017_86_2_a12/}
}
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Voir la notice de l'article provenant de la source Comenius University

We show that, in a symmetric m-convex algebra without algebraic zero-divisors, any self-adjoint and invertible element is either positive or negative. as a consequence we obtain that a symmetric m-convex algebra containing no algebraic zero-divisors and for which every positive element has a positive square root is isomorphic to C + Rad(A).