On the growth of modules

Growth functions of modules encode important algebraic properties. Conversely, we address the inverse problem of realizing functions that satisfy necessary conditions as growth functions of modules with specific algebraic properties, exploring concavity, polynomial growth, regular elements and polynomial identities.

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Publication Details

Journal
International Journal of Algebra and Computation
Published
2026-05-30
DOI
https://doi.org/10.1142/s0218196726400072
Primary Topic
Rings, Modules, and Algebras
Type
article
Field-Weighted Citation Impact
0.00
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article

On the growth of modules

Be’eri Greenfeld, Efim Zelmanov
International Journal of Algebra and Computation
Rings, Modules, and Algebras
article

On the growth of modules

Be’eri Greenfeld, Efim Zelmanov
article en

Abstract

Growth functions of modules encode important algebraic properties. Conversely, we address the inverse problem of realizing functions that satisfy necessary conditions as growth functions of modules with specific algebraic properties, exploring concavity, polynomial growth, regular elements and polynomial identities.

International Journal of Algebra and Computation
The Graduate Center, CUNY (US), Southern University of Science and Technology (CN), Hunter College (US)
Openalex Percentile: Top 3%
Rings, Modules, and Algebras
DOISourceOpenAlex
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