Central polynomials of associative algebras and their growth

DOI10.1090/PROC/14172zbMath1409.16018OpenAlexW2891459835WikidataQ129241667 ScholiaQ129241667MaRDI QIDQ4644692

Antonio Giambruno, Mikhail V. Zaicev

Publication date: 8 January 2019

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

Full work available at URL: https://doi.org/10.1090/proc/14172

zbMATH Keywords

codimensionexponential growthpolynomial identitycentral polynomial

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Rings with polynomial identity (16R99)

Related Items (5)

Central polynomials of algebras and their growth ⋮ On central polynomials and codimension growth ⋮ Codimension growth of central polynomials of Lie algebras ⋮ Growth of central polynomials of algebras with involution ⋮ Central polynomials of graded algebras: capturing their exponential growth

Cites Work

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• Central polynomials for matrix rings
• Existence of identities in \(A \otimes B\)
• Asymptotic behaviour of codimensions of p. i. algebras satisfying Capelli identities
• Codimension growth and minimal superalgebras

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