Just infinite alternative algebras

DOI10.1134/S0001434615110097zbMath1360.17035OpenAlexW2257274427MaRDI QIDQ268082

Aleksander S. Panasenko

Publication date: 14 April 2016

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434615110097

zbMATH Keywords

alternative algebraCayley-Dickson ringexceptional algebrajust infinite-dimensional algebraNoetherian property with respect to one-sided idealsprime algebra

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Alternative rings (17D05) Radical theory (nonassociative rings and algebras) (17A65)

Related Items (4)

Nil ideals of finite codimension in alternative Noetherian algebras ⋮ Central orders in simple finite dimensional superalgebras ⋮ Nearly finite-dimensional Jordan algebras ⋮ Herstein's construction for just infinite superalgebras

Cites Work

• Narrow Lie algebras: A coclass theory and a characterization of the Witt algebra
• Algebras which are nearly finite dimensional and their identities
• Projectively simple rings.
• A Few Properties of Just Infinite Algebras
• Nonassociative coalgebras
• Prime alternative algebras that are nearly commutative
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