Extended centroid and central closure of semiprime normed algebras. a first approach

DOI10.1080/00927879008824022zbMath0713.46033OpenAlexW2195074683MaRDI QIDQ3198361

Angel Rodriguez Palacios, Miguel Cabrera García

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/00927879008824022

zbMATH Keywords

extended centroidcentral closure of semiprime normed algebrasnondegenerate prime noncommutative Jordan algebras with nonzero socle

Mathematics Subject Classification ID

Jordan structures on Banach spaces and algebras (17C65) Structure, classification of topological algebras (46H20) Nonassociative topological algebras (46H70)

Related Items (16)

Algebras whose multiplication algebra is PI or GPI ⋮ Structure theory for multiplicatively semiprime algebras ⋮ The extend centroid of C*-algebras ⋮ Jacobson's theorem on derivations of primitive rings with nonzero socle: a proof and applications ⋮ Endomorphism rings of quotient modules for spectral torsion theories ⋮ Multiplication Algebras: Algebraic and Analytic Aspects ⋮ Structurable \(H^*\)-algebras ⋮ EXTENDED CENTROID AND CENTRAL CLOSURE OF MULTIPLICATIVELY SEMIPRIME ALGEBRAS ⋮ Extended centroid and central closure of the multiplication algebra ⋮ Local PI theory of Jordan systems. II ⋮ IDEALS WHICH MEMORIZE THE EXTENDED CENTROID ⋮ The structure of rings of quotients. ⋮ Unnamed Item ⋮ A Characterization of π-Complemented Algebras ⋮ COMPLEMENTEDLY DENSE IDEALS: DECOMPOSABLE ALGEBRAS ⋮ π-Complementation in the Unitisation and Multiplication Algebras of a Semiprime Algebra

Cites Work

• Unnamed Item
• Homomorphisms on normed algebras
• The uniqueness of the complete norm topology in complete normed nonassociative algebras
• Structure theory for noncommutative Jordan \(H^ *\)-algebras
• Simple Malcev algebras over fields of characteristic zero
• Structure theorems for alternative H*-algebras
• Isomorphisms of H*-algebras
• A Wedderburn Theorem for Non-Associative Complete Normed Algebras
• Mal'cev H*-algebras
• Closed Prime Ideals in Topological Rings
• Ring Isomorphisms of Banach Algebras

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