×

The characterization of (-1,1) rings. (English) Zbl 0284.17001


MSC:

17A30 Nonassociative algebras satisfying other identities
Full Text: DOI

References:

[1] Albert, A. A., Structure of Algebras, (Amer. Math. Soc. Colloq. Publ., Vol. 24 (1939), American Mathematical Society: American Mathematical Society Providence, RI), 99, MR 1 · JFM 65.0094.02
[2] Hentzel, I. R., Nil semi-simple (−1, 1) rings, J. Algebra, 22, 442-450 (1972) · Zbl 0248.17002
[3] Hentzel, I. R., (−1, 1) rings, (Proc. Amer. Math. Soc., 22 (1969)), 367-374 · Zbl 0177.05403
[4] Kleinfeld, E., On a class of right alternative rings, Math. Z., 87, 12-16 (1965) · Zbl 0119.27303
[5] Kleinfeld, E.; Kleinfeld, M. H., A nonidentity for right alternative rings, (Proc. Amer. Math. Soc., 22 (1969)), 109-110 · Zbl 0196.06203
[6] Maneri, C., Simple (−1, 1) rings with an idempotent, (Proc. Amer. Math. Soc., 14 (1963)), 110-117 · Zbl 0108.26101
[7] Sterling, N. J., Prime (−1, 1) rings with idempotent, (Proc. Amer. Math. Soc., 18 (1967)), 902-909 · Zbl 0189.33202
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.