Prime weakly standard rings
Résumé
In this paper, we prove that a prime weakly standard ring is either a (-1,1) ring or a commutative ring. In general, weakly standard rings are nonassociative rings which are not (-1, 1) rings, but by applying some additional conditions we prove that these are (-1,1) rings.
Téléchargements
Références
Hentzel,I.R. “The characterization of (-1,1) rings”J.Algebra 30(1974),236-258.
Kleinfeld,E. “Standard and accessible rings” Canad.J.Math.8(1956),335-340.
Sansoucie,R.L. “Weakly Standard Rings”,Amer.J.Math,79(1957), 80-86.
Thedy,A “On Rings Satisfying((a, b, c), d) = 0”,Proc.Amer.Soc.29(1971), 213-218.
Schafer, R.D. ““An introduction to nonassociative algebras”, Pure and Appl. Math.,Vol. 22, Academic press, New York, (1966).
Thedy, A. “On rings with commutators in the nucleus”, Math. Z. 119 (1971), 213-218.
Copyright (c) 2025 Boletim da Sociedade Paranaense de Matemática
Ce travail est disponible sous la licence Creative Commons Attribution 4.0 International .
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
