Derivation alternator rings with S(a, b, c)=0
Résumé
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.
Téléchargements
Références
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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.
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