Zhevlakov, K. A.; Slin’ko, A. M.; Shestakov, I. P.; Shirshov, A. I. Rings that are nearly associative. Transl. from the Russian by Harry F. Smith. (English) Zbl 0487.17001 Pure and Applied Mathematics, 104. New York etc.: Academic Press, a Subsidiary of Harcourt Brace Jovanovich, Publishers. XI, 371 p. $ 56.00 (1982). Reviewer: Olaf Ninnemann (Berlin) Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 11 ReviewsCited in 434 Documents MSC: 17-02 Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras 17A60 Structure theory for nonassociative algebras 17C10 Structure theory for Jordan algebras 17D05 Alternative rings 17A65 Radical theory (nonassociative rings and algebras) 17C40 Exceptional Jordan structures 17D15 Right alternative rings 17A75 Composition algebras 17C05 Identities and free Jordan structures Keywords:detailed exposition; theory of alternative algebras; Jordan algebras; composition algebras; simple quadratic alternative algebra; special Jordan algebras; exceptional Jordan algebras; solvability in Jordan algebras; nilpotency in Jordan algebras; locally finite; locally nilpotent; solvability in alternative algebras; nilpotency in alternative algebras; alternative nil-algebra; simple alternative algebra; Cayley- Dickson algebra; radical theory; variety of alternative algebras; prime alternative algebras; semiprime alternative algebras; Cayley-Dickson ring; Jacobson radical; quasi-regular radical; primitive alternative algebras; chain conditions on ideals; free alternative algebras; radicals of Jordan algebras; structure theory for Jordan algebras; minimal condition on quadratic ideals; survey of right alternative algebras Citations:Zbl 0445.17001; Zbl 0145.256; Zbl 0218.17010 × Cite Format Result Cite Review PDF