Outer Inheritance of Simplicity in Jordan Systems

DOI10.1081/AGB-120027927zbMath1083.17013MaRDI QIDQ3154488

Esther García, Teresa Cortés, Kevin McCrimmon, José Angel Anquela

Publication date: 14 January 2005

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

zbMATH Keywords

Jordan algebraJordan pairsimpleJordan triple systemouter ideal

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10) Simple, semisimple Jordan algebras (17C20)

Related Items (1)

An elemental characterization of orthogonal ideals in Lie algebras

Cites Work

• Unnamed Item
• Jordan triple systems by the grid approach
• The structure of strongly prime quadratic Jordan algebras
• Quadratic Jordan systems of Hermitian type
• Local PI theory of Jordan systems
• Simplicity of the heart of a nondegenerate Jordan system
• 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
• Macdonald's theorem for quadratic Jordan algebras
• On Herstein's theorems relating Jordan and associative algebras
• Von Neumann regularity in Jordan triple systems
• Goldie theorems for associative pairs
• Jordan centroids
• Outer inheritance in jordan systems¹
• Outer inheritance in jordan algebras
• Local and subquotient inheritance of simplicity in Jordan systems
• Herstein's theorems and simplicity of Hermitian Jordan systems.

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