On a Generalization of Alternative Rings

Jr., Raymond V. Morgan

Canadian journal of mathematics, Tome 22 (1970) no. 5, pp. 953-966

Résumé

Bruck and Kleinfeld [3] proved that any alternative ring with characteristic prime to 2 must satisfy the identity where the associator (x,y,z) is defined by (x, y, z) = (xy)z – x(yz) and . Linearization of the identity (x 2, y, z) = 2x · (x, y, z) yields for characteristic prime to 2 an equivalent identity (1) Using the right alternative law (x, y, z) = –(y, x, z) and the flexible law (x, y, z) = –(z, y, x) which is satisfied in any alternative ring we obtain (2) and (3)

Détail

DOI : 10.4153/CJM-1970-109-x

Bibliographie

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