scientific article

zbMath0088.03202MaRDI QIDQ3260611

A. I. Shirshov

Publication date: 1958

Full work available at URL: http://mathnet.ru/rus/umn/v13/i6/p3

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zbMATH Keywords

exceptional Jordan algebraLie algebrasunsolved problemsalternative ringsLie ringsBurnside problemEngel conditionJordan ringsCayley-Dickson algebrasfree Lie ringsright alternative ringspower-associative ringsbinary-Lie ringsfree alternative ringsidentities in Jordan ringsMoufang-Lie ringsnearly associative ringsnoncommutative Jordan-ringspower-commutative ringsrelations between Lie rings and groupsspecial Jordan rings

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Exceptional Jordan structures (17C40) Solvable, nilpotent (super)algebras (17B30) Structure theory for Jordan algebras (17C10) Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras (17-02) Power-associative rings (17A05) Identities and free Jordan structures (17C05) Alternative rings (17D05) Noncommutative Jordan algebras (17A15) Nonassociative algebras satisfying other identities (17A30) Free nonassociative algebras (17A50) Right alternative rings (17D15)

Related Items (10)

Radicals in Jordan algebras ⋮ Free alternative algebras ⋮ Centralizers in partially commutative Lie algebras ⋮ Evaluations of noncommutative polynomials on algebras: methods and problems, and the L'vov-Kaplansky conjecture ⋮ New results in the theory of associative and Lie rings ⋮ HNN-extensions of Leibniz algebras ⋮ Gröbner–Shirshov bases and their calculation ⋮ A problem of Shirshov ⋮ Algebras without nilpotent elements. I.II ⋮ Unnamed Item

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