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math.RA2022
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…
math.RA2022
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…
math.RA2022
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…