Prime algebras connected with monsters

DOI10.1134/S0037446618020179zbMath1452.17028OpenAlexW2799893403MaRDI QIDQ721377

Sergey V. Pchelintsev

Publication date: 19 July 2018

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

Full work available at URL: https://doi.org/10.1134/s0037446618020179

zbMATH Keywords

Jordan algebramonsterprime algebra\((-1, 1)\)-algebrametaideal

Mathematics Subject Classification ID

Identities and free Jordan structures (17C05) ((gamma, delta))-rings, including ((1,-1))-rings (17D20)

Cites Work

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• Isotopes of the alternative Monster and the Skosyrskiĭ algebra
• Commutator identities of the homotopes of \((-1, 1)\)-algebras
• On the commutator nilpotency step of strictly \((-1,1)\)-algebras
• Prime \((-1,1)\) and Jordan monsters and superalgebras of vector type
• Degenerate alternative algebras
• Isotopes of prime \((-1,1)\)- and Jordan algebras
• Superalgebras and counterexamples
• Right alternative algebras
• Nilpotent elements and nil-radicals of alternative algebras
• Varieties generated by free algebras of type (-1,1) of finite rank
• Jordan algebras with finiteness conditions
• Prime Mal'tsev algebras
• Speciality and non-speciality of two Jordan superalgebras
• The lower nil radical of (-1,1) rings
• Centers of a free (-1,1) ring
• A taste of Jordan algebras
• The characterization of (-1,1) rings
• Prime Jordan algebras and the Kantor construction
• Nil semi-simple (-1,1) rings
• On a class of right alternative rings
• Simple (-1, 1) Rings with an Idempotent
• Prime alternative algebras that are nearly commutative
• PRIME ALGEBRAS AND ABSOLUTE ZERO DIVISORS
• On central ideals of finitely generated binary (–1,1)-algebras
• Right Alternative Rings

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