6 citations · 6 across the 5 of their papers we have counts for
8 papers · 1 filter
Amenability is not sensitive to the base field
Be'eri Greenfeld
We prove that the notion of amenability of a (module over) an associative algebra does not depend on the ground field, answering a question proposed by Cornulier in a MathOverflow…
Amenability of monomial algebras, minimal subshifts and free subalgebras
Jason P. Bell, Be'eri Greenfeld
We give a combinatorial characterization of amenability of monomial algebras and prove the existence of monomial Folner sequences, answering a question due to Ceccherini-Silberstei…
Nil algebras, Lie algebras and wreath products with intermediate and oscillating growth
Be'eri Greenfeld, Efim Zelmanov
We construct finitely generated nil algebras with prescribed growth rate. In particular, any increasing submultiplicative function is realized as the growth function of a nil algeb…
Affine Noetherian algebras, filtrations and presentations
Be'eri Greenfeld
Resco and Small gave the first example of an affine Noetherian algebra which is not finitely presented. It is shown that their algebra has no finite-dimensional filtrations whose a…
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…
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…