On the socle of a noncommutative Jordan algebra

DOI10.1007/BF01180768zbMath0598.17001OpenAlexW2081566928MaRDI QIDQ1079643

Antonio Fernández López, Angel Rodriguez Palacios

Publication date: 1986

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01180768

zbMATH Keywords

spectrumradicalalternative algebrassoclecharacteristic not twovon Neumann regularJordan Banach algebrasnoncommutative Jordan algebra

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10) Jordan structures on Banach spaces and algebras (17C65) Alternative rings (17D05) Noncommutative Jordan algebras (17A15) Radical theory (nonassociative rings and algebras) (17A65)

Related Items (9)

Prime jordan-banch algebras with nonzero socle ⋮ Jordan canonical form for finite rank elements in Jordan algebras ⋮ Annihilators of elements of the socle of a jordan algebra ⋮ Spectral characterization of the socle in Jordan–Banach algebras ⋮ Trace and spectrum preserving linear mappings in Jordan-Banach algebras ⋮ Spectral characterization of modular annihilator complex noncommutative Jordan-Banach algebras. ⋮ \(\pi\)-complemented algebras through pseudocomplemented lattices ⋮ Unnamed Item ⋮ Properly algebraic and spectrum-finite ideals in Jordan systems

Cites Work

• Unnamed Item
• Structure des algèbres de Jordan-Banach non commutatives complexes régulières ou semi-simples à spectre fini. (Structure of regular or semisimple complex noncommutative Jordan-Banach-algebras with finite spectrum)
• Maximal modular inner ideals and the Jacobson radical of a Jordan algebra
• Jordan pairs
• Nondegenerate Jordan rings are von Neumann regular
• The socle of an alternative ring
• A characterization of the Jacobson-Smiley radical
• Primitive Noncommutative Jordan Algebras with Nonzero Socle
• Modulap annihilator jordan algebras
• Jordan Rings with Nonzero Socle
• NONCOMMUTATIVE JORDAN RIESZ ALGEBRAS
• A Generalized Fredholm Theory for Certain Maps in the Regular Representations of an Algebra
• Von Neumann Regularity in Jordan Algebras
• THE RADICAL OF A JORDAN ALGEBRA
• Noncommutative Jordan Rings

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