Derivation alternator rings with S(a, b, c)=0
Resumen
In this paper, we discuss the derivation alternator rings which are nonassociative but not (-1.1) rings. By assuming some additional conditions, we prove that derivation alternator rings are (-1,1) rings. Here we validate a semiprime derivation alternator ring with commutators in the left nucleus satisfies the identity . By using this we show that a semiprime derivation alternator ring with commutators in the left nucleus is a (-1,1) ring.
Descargas
Citas
Hentzel, I. R., Kleinfeld, E. and Smith, H. F. “On rings in the join of associative and commutative”, J. Algebra, Vol. 149, No. 2 (1992), 528-537.
Hentzel, I. R. “The characterization of (-1,1) rings” J. Algebra 30(1974),236-258.
Hentzel. I. R., Hogben, L. and Smith H. F. “Flexible derivation alternator rings”, Com. in. algebra, 8 (20) (1980), 1997-2014.
Kleinfeld, E. “Rings with (x,y,x) and commutators in the left nucleus”, Comm. in. Algebra, 16 (10), (1988), 2023-2029.
Kleinfeld, E. “Generalization of alternative rings I”, J. Algebra, 18 (1971), 304-325.
Thedy, A. “On rings with commutators in the nucleus”, Math. Z. 119 (1971), 213-218.
Derechos de autor 2024 Boletim da Sociedade Paranaense de Matemática
Esta obra está bajo licencia internacional Creative Commons Reconocimiento 4.0.
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).
