Generically Algebraic Algebras

DOI10.2307/1994428zbMath0153.05801OpenAlexW4231730681MaRDI QIDQ5532624

Kevin McCrimmon

Publication date: 1967

Full work available at URL: https://doi.org/10.2307/1994428

zbMATH Keywords

generic normgeneric minimum polynomialinfinite-dimensional power-associative algebrasseminormal algebra

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Power-associative rings (17A05)

Related Items

The Freudenthal-Springer-Tits Constructions of Exceptional Jordan Algebras, On linear and quadratic Jordan division algebras, A Note on Finite Division Rings, The Freudenthal-Springer-Tits Constructions Revisited, Pseudo-composition superalgebras, Structurable \(H^*\)-algebras, Right alternative rings, Finite-dimensional left Moufang algebras, Finding Octonion Algebras in Associative Algebras, On algebraic power-associative and Jordan algebras with semi-normal functionals, On \(R\)-triviality of \(F_4\), Homotopes of alternative algebras, Varieties of algebras, Forms permitting composition, Dual pairs techniques in \(H^*\)-theories

Cites Work

• Norms and noncommutative Jordan algebras
• A proof of Schafer's conjecture for infinite-dimensional forms admitting composition
• Some Groups of Transformations defined by Jordan Algebras. I.
• On Cubic Forms Permitting Composition
• Jordan algebras of degree 1
• A Theorem on Generic Norms of Strictly Power Associative Algebras
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