On the growth of algebras, semigroups, and hereditary languages

DOI10.1007/s00222-020-01017-xzbMath1487.16029arXiv1907.01777OpenAlexW3105372950MaRDI QIDQ2030397

Jason P. Bell, Efim I. Zelmanov

Publication date: 7 June 2021

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.01777

zbMATH Keywords

growth rateGelfand-Kirillov dimensiongrowth functionhereditary language

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Semigroup rings, multiplicative semigroups of rings (20M25)

Related Items

Clover nil restricted Lie algebras of quasi-linear growth ⋮ Growth of generalized Weyl algebras over polynomial algebras and Laurent polynomial algebras ⋮ Nil algebras, Lie algebras and wreath products with intermediate and oscillating growth ⋮ Gaps and approximations in the space of growth functions ⋮ Growth of finitely generated simple Lie algebras ⋮ Nil restricted Lie algebras of oscillating intermediate growth ⋮ $\mathcal{T}$-semiring pairs

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