Prime Weakly Standard Rings 1.
Resumen
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.
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Citas
1)Hentzel, I.R. “The characterization of (-1,1) rings’’J. Algebra 30(1974),236-258.
2)Kleinfeld, E. “Standard and accessible rings’’ Canad.J.Math.8(1956),335-340.
3)Sansoucie, R.L. “Weakly Standard Rings”,Amer.J.Math,79(1957), 80-86.
4)Thedy, A “On Rings Satisfying ((𝑎,𝑏,𝑐),𝑑)=0 ”,Proc.Amer.Soc.29(1971), 213-218.
5)Schafer, R.D. ““An introduction to nonassociative algebras”, Pure and Appl. Math., Vol. 22, Academic press, New York, (1966).
6)Thedy, A. “On rings with commutators in the nucleus”, Math. Z. 119 (1971), 213-218.
2)Kleinfeld, E. “Standard and accessible rings’’ Canad.J.Math.8(1956),335-340.
3)Sansoucie, R.L. “Weakly Standard Rings”,Amer.J.Math,79(1957), 80-86.
4)Thedy, A “On Rings Satisfying ((𝑎,𝑏,𝑐),𝑑)=0 ”,Proc.Amer.Soc.29(1971), 213-218.
5)Schafer, R.D. ““An introduction to nonassociative algebras”, Pure and Appl. Math., Vol. 22, Academic press, New York, (1966).
6)Thedy, A. “On rings with commutators in the nucleus”, Math. Z. 119 (1971), 213-218.
Publicado
2025-08-10
Número
Sección
Research Articles
Derechos de autor 2025 Boletim da Sociedade Paranaense de Matemática
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