Extended centroid and central closure of the multiplication algebra

DOI10.1080/00927879908826787zbMath0949.17001OpenAlexW2163560411MaRDI QIDQ4934099

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Publication date: 5 December 2000

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

Full work available at URL: https://doi.org/10.1080/00927879908826787

zbMATH Keywords

extended centroidmultiplication algebramultiplicatively prime algebracentral closure

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60)

Related Items (14)

Multiplicative Semiprimeness of Skew Lie Algebras ⋮ Multiplicative-Semiprimeness of Nondegenerate Jordan Algebras ⋮ Algebras whose multiplication algebra is PI or GPI ⋮ Structure theory for multiplicatively semiprime algebras ⋮ A note on multiplicative primeness of prime degenerate Jordan algebras ⋮ \(\varepsilon \)-complemented algebras ⋮ Multiplication Algebras: Algebraic and Analytic Aspects ⋮ Algebras whose multiplication algebra is semiprime. A decomposition theorem ⋮ EXTENDED CENTROID AND CENTRAL CLOSURE OF MULTIPLICATIVELY SEMIPRIME ALGEBRAS ⋮ Closed Prime Ideals in Algebras with Semiprime Multiplication Algebra ⋮ IDEALS WHICH MEMORIZE THE EXTENDED CENTROID ⋮ Primitive Lie PI-algebras ⋮ Multiplicative primeness of strongly prime non-commutative Jordan algebras ⋮ COMPLEMENTEDLY DENSE IDEALS: DECOMPOSABLE ALGEBRAS

Cites Work

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• On the multiplication ideal of a nonassociative algebra
• Prime nonassociative algebras
• Prime rings satisfying a generalized polynomial identity
• Central closure of semiprime non-associative rings
• Extended centroid and central closure of semiprime normed algebras. a first approach
• Ideals in the multiplication algebra of a non-associative K-algebra
• The multiplication algebra of a bernstein algebra: basic results

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