Understanding star-fundamental algebras

DOI10.1090/proc/15458zbMath1481.16025OpenAlexW3159882576MaRDI QIDQ4992909

Daniela La Mattina, Antonio Giambruno, Francisco César Polcino Milies

Publication date: 10 June 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/15458

zbMATH Keywords

involutionpolynomial identitystar-fundamental

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (3)

On codimensions of algebras with involution ⋮ Superalgebras: polynomial identities and asymptotics ⋮ Codimensions of algebras with additional structures

Cites Work

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• Algebras with involution with linear codimension growth.
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• Involution codimensions of finite dimensional algebras and exponential growth
• Codimensions of star-algebras and low exponential growth
• A characterization of fundamental algebras through \(S_n\)-characters
• Amitsur's conjecture for associative algebras with a generalized Hopf action.
• Finitely generated algebras with involution and their identities.
• Minimal algebras with respect to their *-exponent.
• Asymptotic behaviour of codimensions of p. i. algebras satisfying Capelli identities
• Star-fundamental algebras: polynomial identities and asymptotics
• The geometry of polynomial identities

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