On codimensions of algebras with involution

DOI10.1007/978-3-030-63111-6_13zbMath1486.16044OpenAlexW3137429838MaRDI QIDQ824448

Daniela La Mattina

Publication date: 15 December 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-63111-6_13

zbMATH Keywords

growth\(^\ast\)-codimensions\(^\ast\)-identities

Mathematics Subject Classification ID

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

Cites Work

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• Varieties of algebras with superinvolution of almost polynomial growth
• Star-polynomial identities: computing the exponential growth of the codimensions
• Algebras with involution with linear codimension growth.
• Polynomial growth and star-varieties.
• Polynomial growth and identities of superalgebras and star-algebras.
• Wreath products and P.I. algebras
• Minimal star-varieties of polynomial growth and bounded colength
• A star-variety with almost polynomial growth
• Involution codimensions of finite dimensional algebras and exponential growth
• Codimensions of star-algebras and low exponential growth
• Finitely generated algebras with involution and their identities.
• Identities in rings with involutions
• Polynomial identities with involution, superinvolutions and the Grassmann envelope
• $G$-identities on associative algebras
• Understanding star-fundamental algebras
• Star-fundamental algebras: polynomial identities and asymptotics

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