Minimal varieties of associative algebras and transcendental series

DOI10.1142/S0218196721500132zbMath1473.16016arXiv2001.01262OpenAlexW3102036441MaRDI QIDQ4989996

Vesselin Drensky

Publication date: 27 May 2021

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.01262

zbMATH Keywords

compositionsgenerating functionsfree semigroupsGelfand-Kirillov dimensionlacunary seriesfree algebrasexponent of varietytranscendental numberstranscendental seriesminimal varieties of algebras

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Free semigroups, generators and relations, word problems (20M05) Transcendence (general theory) (11J81) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Cites Work

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• Codimensions and trace codimensions of matrices are asymptotically equal
• Numerical semigroups.
• Homogeneous polynomial identities
• Representability of reduced free algebras
• Lectures on transcendental numbers. Edited and completed by B. Diviš and W. J. LeVeque
• On codimension growth of finitely generated associative algebras
• Exponential codimension growth of PI algebras: an exact estimate
• Algebraic independence of the values of power series with unbounded coefficients
• Minimal varieties of algebras of exponential growth.
• On the codimensions of the verbally prime P.I. algebras
• Existence of identities in \(A \otimes B\)
• VARIETIES AND $ Z_2$-GRADED ALGEBRAS
• Codimension growth and minimal superalgebras
• Generic verbally prime pi-algebras and their gk-dimensions
• The Semigroup of Ideals of a Fir is (Usually) Free
• Combinatorics of Compositions and Words
• Arithmetic properties of lacunary power series with integral coefficients
• Weighted Compositions
• Note on almost-algebraic numbers

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