Closed Prime Ideals in Algebras with Semiprime Multiplication Algebra

DOI10.1080/00927870701649424zbMath1137.17006OpenAlexW2131521328MaRDI QIDQ5436340

Juan Carlos Cabello, Miguel Cabrera García, Eduardo Nieto

Publication date: 14 January 2008

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

Full work available at URL: https://doi.org/10.1080/00927870701649424

zbMATH Keywords

prime idealsclosure operationssemiprime algebrasmultiplication algebra

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Radical theory (nonassociative rings and algebras) (17A65)

Related Items (2)

\(\varepsilon \)-complemented algebras ⋮ COMPLEMENTEDLY DENSE IDEALS: DECOMPOSABLE ALGEBRAS

Cites Work

• Structure theory for multiplicatively semiprime algebras
• EXTENDED CENTROID AND CENTRAL CLOSURE OF MULTIPLICATIVELY SEMIPRIME ALGEBRAS
• Multiplicative Semiprimeness of Skew Lie Algebras
• A Wedderburn Theorem for Non-Associative Complete Normed Algebras
• Extended centroid and central closure of the multiplication algebra
• Closed Prime Ideals in Topological Rings
• Prime Ideals in General Rings
• The radical of a non-associative algebra

This page was built for publication: Closed Prime Ideals in Algebras with Semiprime Multiplication Algebra