Commuting \(U\)-operators and nondegenerate imbeddings of Jordan systems

DOI10.1007/s11856-018-1681-5zbMath1430.17100OpenAlexW2802357287WikidataQ111288265 ScholiaQ111288265MaRDI QIDQ1650463

Teresa Cortés, Ivan Pavlovic Shestakov, José Angel Anquela

Publication date: 3 July 2018

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

Full work available at URL: https://doi.org/10.1007/s11856-018-1681-5

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10) Division algebras and Jordan algebras (17C60)

Related Items

A retrospect of the research in nonassociative algebras in IME-USP

Cites Work

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• Prime Jordan triple systems
• Prime Jordan algebras. II
• Imbedding Jordan systems in primitive systems
• On nilpotent elements of a free Jordan algebra
• The structure of strongly prime quadratic Jordan algebras
• Prime Jordan algebras
• A taste of Jordan algebras
• Jordan cubes and associative powers.
• The local algebras of Jordan systems
• Moufang sets and Jordan division algebras
• Macdonald's theorem for quadratic Jordan algebras
• Von Neumann regularity in Jordan triple systems
• Local nilpotency of the McCrimmon radical of a Jordan system
• Commuting $U$-operators in Jordan algebras
• Simple rings without zero‐divisors, and Lie division rings
• Minimal Ideals in Quadratic Jordan Algebras
• GROWING HEARTS IN ASSOCIATIVE SYSTEMS
• Quadratic Jordan Algebras and Cubing Operations
• On Commuting U-Operators in Jordan Algebras
• On Homomorphic Images of Special Jordan Algebras
• Speciality of quadratic Jordan algebras