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math.RA2026
The Köthe conjecture via point modules
B. Greenfeld, B. King, L. Vendramin
We give a short construction refuting the Köthe Conjecture. The construction is based on the point module approach to the problem, introduced by the first-named and second-named au…
math.RA2024
Modules over Fomin-Kirillov algebras and their subalgebras
Be'eri Greenfeld, Sarah Mathison, Aditya Saini +1
We compute the truncated point schemes of subalgebras of Fomin-Kirillov algebras associated with certain graphs. While Fomin-Kirillov algebras do not admit any truncated point modu…
math.RA2022
Gaps and approximations in the space of growth functions
Be'eri Greenfeld
An important problem in combinatorial noncommutative algebra is to characterize the growth functions of finitely generated algebras (equivalently, semigroups, or hereditary languag…