Varieties generated by free algebras of type (-1,1) of finite rank

DOI10.1007/BF00970877zbMath0635.17015MaRDI QIDQ1097343

Sergey V. Pchelintsev

Publication date: 1987

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

zbMATH Keywords

free algebrabasic rank of varietyfinite basis of identitiescentral functionvariety of (-1,1)-algebras

Mathematics Subject Classification ID

Free nonassociative algebras (17A50) ((gamma, delta))-rings, including ((1,-1))-rings (17D20)

Related Items

Central isotopes of \((-1,1) \)-algebras ⋮ Proper identities of finitely generated commutative alternative algebras ⋮ Constants of partial derivations and primitive operations ⋮ Prime algebras connected with monsters

Cites Work

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• On the variety of algebras of type (-1,1)
• Right alternative rings
• The characterization of (-1,1) rings
• Nilpotency of the associator ideal of a free finitely generated (−1, 1) ring

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