Prime weakly standard rings
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
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.
Derechos de autor 2025 Boletim da Sociedade Paranaense de Matemática

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