McCrimmon, Kevin On Herstein’s theorems relating Jordan and associative algebras. (English) Zbl 0224.16027 J. Algebra 13, 382-392 (1969). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 51 Documents MSC: 16W10 Rings with involution; Lie, Jordan and other nonassociative structures 17A15 Noncommutative Jordan algebras 16N20 Jacobson radical, quasimultiplication PDFBibTeX XMLCite \textit{K. McCrimmon}, J. Algebra 13, 382--392 (1969; Zbl 0224.16027) Full Text: DOI References: [1] McCrimmon, K., A general theory of Jordan rings, (Proc. Nat. Acad. Sci. U.S.A., 56 (1966)), 1072-1079 · Zbl 0139.25502 [2] McCrimmon, K., The radical of a Jordan algebra, (Proc. Nat. Acad. Sci. U.S.A., 59 (1969)), 671-678 · Zbl 0175.31002 [3] Herstein, I. N., On the Lie and Jordan rings of a simple associative ring, Am. J. Math., 77, 279-285 (1955) · Zbl 0064.03601 [4] Herstein, I. N., Lie and Jordan systems in simple rings with involution, Am. J. Math., 78, 629-649 (1956) · Zbl 0071.25901 [5] Herstein, I. N., Topics in Ring Theory, U. of Chicago Lecture notes (1965) · Zbl 0232.16001 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.