Nilpotent elements and nil-radicals of alternative algebras

DOI10.1007/BF01978847zbMath0603.17014MaRDI QIDQ1082426

Sergey V. Pchelintsev

Publication date: 1985

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187333

zbMATH Keywords

elements of finite ordercharacteristic zerofree alternative algebraexceptional prime alternative algebrasfinite basis ranknil-radicalnilpotent nil-algebrasvarieties of alternative algebras

Mathematics Subject Classification ID

Alternative rings (17D05)

Related Items (11)

Proper identities of finitely generated commutative alternative algebras ⋮ A criterion for the solvability of alternative algebras ⋮ Isotopes of the alternative Monster and the Skosyrskiĭ algebra ⋮ Examples of prime Jordan superalgebras of vector type and superalgebras of Cheng-Kac type ⋮ Identities of metabelian alternative algebras ⋮ Construction and applications of an additive basis for the relatively free associative algebra with the Lie nilpotency identity of degree 5 ⋮ Identities of prime alternative algebras ⋮ Prime \((-1,1)\) and Jordan monsters and superalgebras of vector type ⋮ Degenerate alternative algebras ⋮ Prime algebras connected with monsters ⋮ On the Z-module structure of a free semialternative ring

Cites Work

• Centers of alternative rings
• Trivial ideals of a free alternative algebra
• Nilpotent ideals of a free alternative algebra
• Baer chains of alternative PI-algebras
• Groupoids of rank 2 generating categorical Horn classes
• On free alternative rings
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