Symmetric m-convex algebras without algebraic zero-divisors and results of Gelfand-Mazur type
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Abstract
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).
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Nejjari, M.
(2017).
Symmetric m-convex algebras without algebraic zero-divisors and results of Gelfand-Mazur type.
Acta Mathematica Universitatis Comenianae, 86(2), 329-333.
Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/481/476
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References
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