Prime weakly standard rings

  • Dr Sarada Devi Koneru Lakshmaiah Education Foundation
  • K. Hari Babu JNTUA college of engineering (autonomous)AnathapuramuAndhra pradesh (India)
  • P. Prathapa Reddy
  • C. Manjula

Abstract

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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Author Biography

K. Hari Babu, JNTUA college of engineering (autonomous)AnathapuramuAndhra pradesh (India)

Mathematics

References

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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.

Published
2025-08-10
Section
Research Articles