π-Complementation in the Unitisation and Multiplication Algebras of a Semiprime Algebra

DOI10.1080/00927872.2011.590954zbMath1287.17006OpenAlexW2009481910MaRDI QIDQ3145448

Juan Carlos Cabello, R. Roura, Miguel Cabrera García

Publication date: 20 December 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.590954

zbMATH Keywords

extended centroidmultiplication algebrasemiprime algebracentral closurecomplemented algebra

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Pseudocomplemented lattices (06D15)

Related Items (3)

Algebras whose multiplication algebra is PI or GPI ⋮ Multiplication Algebras: Algebraic and Analytic Aspects ⋮ COMPLEMENTEDLY DENSE IDEALS: DECOMPOSABLE ALGEBRAS

Cites Work

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• \(\varepsilon \)-complemented algebras
• On a problem by Beidar concerning the central closure.
• Structure theory for multiplicatively semiprime algebras
• Algebras whose multiplication algebra is semiprime. A decomposition theorem
• EXTENDED CENTROID AND CENTRAL CLOSURE OF MULTIPLICATIVELY SEMIPRIME ALGEBRAS
• Central closure of semiprime non-associative rings
• Extended centroid and central closure of semiprime normed algebras. a first approach
• The radical of a non-associative algebra

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