Herstein's theorems and simplicity of Hermitian Jordan systems.

DOI10.1006/jabr.2001.8888zbMath1042.17029OpenAlexW2068164508MaRDI QIDQ5956260

Esther García, Teresa Cortés, José Angel Anquela

Publication date: 15 October 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2001.8888

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Structure theory for Jordan algebras (17C10) Jordan structures associated with other structures (17C50)

Related Items

Outer Inheritance of Simplicity in Jordan Systems, Tits-Kantor-Koecher algebras of strongly prime Hermitian Jordan pairs, Maximal algebras of Martindale-like quotients of strongly prime linear Jordan algebras, Imbedding Jordan systems in primitive systems, SIMPLE, PRIMITIVE, AND STRONGLY PRIME JORDAN 3-GRADED LIE ALGEBRAS, Prime quotients of Jordan systems and Lie algebras, Jordan cubes and associative powers., Associative systems generated by symmetric elements of a system with involution, Simplicity of the heart of a nondegenerate Jordan system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The structure of strongly prime quadratic Jordan algebras
• Quadratic Jordan systems of Hermitian type
• Jordan pairs
• The structure of quadratic Jordan systems of Clifford type
• The structure of primitive quadratic Jordan algebras
• The local algebras of Jordan systems
• An elemental characterization of strong primeness in Jordan systems
• Primitive Jordan pairs and triple systems
• On Herstein's theorems relating Jordan and associative algebras
• Lie and Jordan Systems in Simple Rings with Involution
• Goldie theorems for associative pairs
• A COUNTEREXAMPLE IN NOETHERIAN RINGS
• On the Lie and Jordan Rings of a Simple Associative Ring
• Local and subquotient inheritance of simplicity in Jordan systems