PRIME ALTERNATIVE SUPERALGEBRAS AND NILPOTENCE OF THE RADICAL OF A FREE ALTERNATIVE ALGEBRA
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Publication:5758367
DOI10.1070/IM1991v037n01ABEH002049zbMath0724.17022OpenAlexW2055601637MaRDI QIDQ5758367
Ivan Pavlovic Shestakov, Efim I. Zelmanov
Publication date: 1991
Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/im1991v037n01abeh002049
free alternative algebraalternative superalgebraquasi-regular radicalprime alternative superalgebras
Superalgebras (17A70) Alternative rings (17D05) Radical theory (nonassociative rings and algebras) (17A65)
Related Items (21)
COMPOSITION SUPERALGEBRAS ⋮ A note on semiprime Malcev superalgebras ⋮ Invariant bilinear forms on Leibniz superalgebras ⋮ Simple finite-dimensional right-alternative unital superalgebras with strongly associative even part ⋮ Simple right-alternative superalgebras with semisimple even part ⋮ Jordan superalgebra of type JPn,n≥3 and the Wedderburn principal theorem ⋮ Central orders in simple finite dimensional superalgebras ⋮ Finite-dimensional unital right alternative superalgebras with strongly alternative even part ⋮ Superalgebras with semisimple even part ⋮ Simple Jordan superalgebras with semisimple even part. ⋮ Semiprime, prime and simple Jordan superpairs covered by grids. ⋮ Hom-alternative, Hom-Malcev and Hom-Jordan superalgebras ⋮ Basic superranks for varieties of algebras ⋮ On the lie structure of associative superalgebras ⋮ On locally complex algebras and low-dimensional Cayley-Dickson algebras ⋮ Tits-Kantor-Koecher Superalgebras of Jordan Superpairs Covered by Grids ⋮ Irreducible bimodules over alternative algebras and superalgebras ⋮ The derived superalgebra of skew elements of a semiprime superalgebra with superinvolution ⋮ Constructions of three kinds of BiHom-superalgebras ⋮ Nonfinitely Based Varieties of Right Alternative Metabelian Algebras ⋮ Quadratic (resp. symmetric) Leibniz superalgebras
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