Prime weakly standard rings
DOI:
https://doi.org/10.5269/bspm.65380Resumen
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.
Referencias
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.
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Publicado
2025-08-10
Número
Sección
Research Articles
Licencia
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).
Cómo citar
Sarada Devi, P., Babu, K. H., Reddy, P. P. ., & Manjula, C. . (2025). Prime weakly standard rings. Boletim Da Sociedade Paranaense De Matemática, 43, 1-4. https://doi.org/10.5269/bspm.65380
