Jordan canonical form for finite rank elements in Jordan algebras

DOI10.1016/S0024-3795(97)80008-0zbMath0891.17022OpenAlexW1499597286MaRDI QIDQ1361777

Antonio Fernández López, Miguel Gómez Lozano, Mercedes Siles Molina, Eulalia García Rus

Publication date: 28 July 1997

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0024-3795(97)80008-0

zbMATH Keywords

Jordan canonical formJordan algebra

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10) Canonical forms, reductions, classification (15A21)

Related Items

A Jordan canonical form for nilpotent elements in an arbitrary ring, Gradings induced by nilpotent elements, Ad-nilpotent elements of skew index in semiprime rings with involution

Cites Work

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• Fitting decomposition in Jordan systems
• Reduced elements in Jordan triple systems
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• Peirce ideals in Jordan algebras
• Diagonalization in Jordan pairs
• Jordan pairs
• Prime Jordan algebras satisfying local Goldie conditions
• A Characterization of the Elements of the Socle of a Jordan Algebra
• Simple jordan algebras with minimal inner ideals
• Modulap annihilator jordan algebras
• Von Neumann Regular Jordan Banach Triple Systems
• Strong regularity and generalized inverses in jordan systems
• Jordan Rings with Nonzero Socle