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math.RA2020
Representability of Noetherian PI-algebras
Be'eri Greenfeld, Louis Rowen
This note concerns the still open question of representability of Noetherian PI-algebras. Extending a result of Rowen and Small (with an observation of Bergman) that every finitely…
math.RA2020
Growth of finitely generated simple Lie algebras
Be'eri Greenfeld
We realize any submultiplicative increasing function which is equivalent to a polynomial proportion of itself as the growth function of a finitely generated simple Lie algebra. As…
math.RA2020
How do algebras grow?
Be'eri Greenfeld
We construct an increasing, submultiplicative, arbitrarily rapid function which is not equivalent to the growth function of any finitely generated algebra, demonstrating the diffic…