Noncommutative Jordan Rings

DOI10.2307/1995769zbMath0229.17002OpenAlexW4249966141MaRDI QIDQ5637043

Kevin McCrimmon

Publication date: 1971

Full work available at URL: https://doi.org/10.2307/1995769

Mathematics Subject Classification ID

Noncommutative Jordan algebras (17A15) Radical theory (nonassociative rings and algebras) (17A65)

Related Items (29)

On the socle of a noncommutative Jordan algebra ⋮ The structure of simple noncommutative Jordan superalgebras ⋮ Representations of simple noncommutative Jordan superalgebras. II ⋮ Simple finite-dimensional noncommutative Jordan superalgebras of characteristic 0 ⋮ Jordan axioms for C*-algebras ⋮ Algebra norms on tensor products of algebras, and the norm extension problem ⋮ Approximately norm-unital products on \(C^{\ast}\)-algebras, and a non-associative Gelfand-Naimark theorem ⋮ Noncommutative Jordan superalgebras of degree \(n > 2\) ⋮ Nonassociative rings ⋮ Spectral characterization of modular annihilator complex noncommutative Jordan-Banach algebras. ⋮ Simple finite-dimensional modular noncommutative Jordan superalgebras ⋮ Primitive Noncommutative Jordan Algebras with Nonzero Socle ⋮ Noncommutative Jordan Division Algebras ⋮ The algebraic and geometric classification of nilpotent noncommutative Jordan algebras ⋮ Nonassociative unitary Banach algebras ⋮ Jordan algebras and their applications ⋮ Right alternative rings with minimal condition ⋮ 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) ⋮ On a Wedderburn Principal Theorem for the Flexible Algebras ⋮ Jordan Banach algebras satisfying \(\|x\|\|x^{-1}\| =1\) ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Structure and representations of noncommutative C*-Jordan algebras ⋮ Representations of simple noncommutative Jordan superalgebras. I ⋮ Real and complex noncommutative Jordan Banach algebras ⋮ Unnamed Item ⋮ The multiplicative triangle inequality in noncommutative JB- and \(JB^*\)-algebras

Cites Work

• Unnamed Item
• Norms and noncommutative Jordan algebras
• Macdonald's theorem for quadratic Jordan algebras
• Lectures on quadratic Jordan algebras
• Restricted Noncommutative Jordan Algebras of Characteristic p
• ON A CLASS OF NONCOMMUTATIVE JORDAN ALGEBRAS
• A GENERAL THEORY OF JORDAN RINGS
• Structure and Representations of Noncommutative Jordan Algebras
• A Note on Quasi-Associative Algebras
• THE RADICAL OF A JORDAN ALGEBRA
• Quadratic Jordan Algebras and Cubing Operations
• Noncommutative Jordan Algebras of Capacity Two
• Power-associative rings
• Noncommutative Jordan Algebras of Characteristic 0

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