New central elements in free alternative algebras

DOI10.1007/s11856-024-2650-9MaRDI QIDQ6660135

Ivan Shestakov, Sergei R. Sverchkov

Publication date: 10 January 2025

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

General nonassociative rings (17Axx) Jordan algebras (algebras, triples and pairs) (17Cxx) Other nonassociative rings and algebras (17Dxx)

Cites Work

• Example of a variety of solvable alternative algebras over a field of characteristic 2 having no finite basis of identities
• Centers of nonassociative rings
• Centers of alternative algebras
• The Composition Structure of Alternative and Malcev Algebras
• FREE MALCEV SUPERALGEBRA ON ONE ODD GENERATOR
• A Nonzero Element of Degree 7 in the Center of the Free Alternative Algebra
• THE FREE ALTERNATIVE SUPERALGEBRA ON ONE ODD GENERATOR
• The Universal Multiplicative Envelope of the Free Malcev Superalgebra on One Odd Generator
• Modification and correction of Medvedev's example of a solvable alternative algebra
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