Prime weakly standard rings
DOI:
https://doi.org/10.5269/bspm.65380Resumo
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.
Referências
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
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Como Citar
Sarada Devi, P., babu, kommaddi hari, 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
