GROWING HEARTS IN ASSOCIATIVE SYSTEMS

DOI10.1142/S0219498812500831zbMath1294.16002OpenAlexW1970982007MaRDI QIDQ4649480

Teresa Cortés, José Angel Anquela

Publication date: 22 November 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498812500831

zbMATH Keywords

associative algebrasheartsassociative triple systemsprimitive triple systemstriple systems with involution

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Jordan structures associated with other structures (17C50) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Ideals in associative algebras (16D25)

Related Items (3)

Commuting \(U\)-operators and nondegenerate imbeddings of Jordan systems ⋮ Imbedding Jordan systems in primitive systems ⋮ Prime quotients of Jordan systems and Lie algebras

Cites Work

• Unnamed Item
• The structure of strongly prime quadratic Jordan algebras
• Quadratic Jordan systems of Hermitian type
• Jordan pairs
• Simplicity of the heart of a nondegenerate Jordan system
• Jordan cubes and associative powers.
• The structure of primitive quadratic Jordan algebras
• Primitive Jordan pairs and triple systems
• Assoziative Tripelsysteme
• Local and subquotient inheritance of simplicity in Jordan systems

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