Growth of monomial algebras, simple rings and free subalgebras

DOI10.1016/j.jalgebra.2017.07.003zbMath1380.16020arXiv1706.09845OpenAlexW2963040662MaRDI QIDQ1682048

Be'eri Greenfeld

Publication date: 28 November 2017

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.09845

zbMATH Keywords

growthmonomial algebrassimple ringsfree subalgebrasentropy of graded algebrasjust-infinite algebrasuniformly recurrent words

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Growth rate, Gelfand-Kirillov dimension (16P90) Infinite-dimensional simple rings (except as in 16Kxx) (16D30) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (5)

Growth, relations and prime spectrum of monomial algebras ⋮ Gaps and approximations in the space of growth functions ⋮ Growth of finitely generated simple Lie algebras ⋮ On the growth of algebras, semigroups, and hereditary languages ⋮ $\mathcal{T}$-semiring pairs

Cites Work

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• Trichotomy for finitely generated monomial algebras.
• Growth, entropy and commutativity of algebras satisfying prescribed relations.
• Substitutions in dynamics, arithmetics and combinatorics
• Monomial algebras
• The entropy of graded algebras
• Prime and primitive algebras with prescribed growth types
• Growth of étale groupoids and simple algebras
• IMAGES OF GOLOD-SHAFAREVICH ALGEBRAS WITH SMALL GROWTH
• A Few Properties of Just Infinite Algebras
• On radicals of monomial algebras
• Iterative algebras.

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