Outcalt, D. L.; Yaqub, Adil Types of associativity inherited by a ring from a special ideal. (English) Zbl 0246.17001 Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. 26, 613-623 (1972). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 17A05 Power-associative rings 17A20 Flexible algebras 17A30 Nonassociative algebras satisfying other identities 17A15 Noncommutative Jordan algebras 17D05 Alternative rings PDF BibTeX XML Cite \textit{D. L. Outcalt} and \textit{A. Yaqub}, Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. 26, 613--623 (1972; Zbl 0246.17001) Full Text: Numdam EuDML References: [1] A.A. Albert , On nonassociative division algebras , Trans. Amer. Math. Soc. 72 ( 1952 ), 296 - 309 . MR 47027 | Zbl 0046.03601 · Zbl 0046.03601 · doi:10.2307/1990756 [2] R. Block , Noncommutative Jordan algebras with commutators satisfying an alternativity condition , Proc. Nat. Acad. Sci. USA . Zbl 0208.04002 · Zbl 0208.04002 · doi:10.1073/pnas.65.1.10 [3] E.C. Johnsen , D.L. Outcalt , and Adil Yaqub , A generalization of a Theorem of Albert on finite division rings , J. Algebra 14 ( 1970 ), 106 - 111 . MR 252456 | Zbl 0198.35502 · Zbl 0198.35502 · doi:10.1016/0021-8693(70)90137-7 [4] E. Kleinfeld , M. Humm Kleinfeld , and F. Kosier , A generalization of commutative and alternative, rings , Canad. J. Math. 21 ( 1969 ), 348362 . Zbl 0198.35503 · Zbl 0198.35503 · doi:10.4153/CJM-1970-043-7 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.