6 citations · 6 across the 2 of their papers we have counts for
5 papers
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…
Generating adjoint groups
Be'eri Greenfeld
We prove two approximations of the open problem of whether the adjoint group of a non-nilpotent nil ring can be finitely generated: We show that the adjoint group of a non-nilpoten…
Commuting Graphs of Boundedly Generated Semigroups
Tomer Bauer, Be'eri Greenfeld
Araújo, Kinyon and Konieczny (2011) pose several problems concerning the construction of arbitrary commuting graphs of semigroups. We observe that every star-free graph is the comm…
Growth of monomial algebras, simple rings and free subalgebras
Be'eri Greenfeld
We construct finitely generated simple algebras with prescribed growth types, which can be arbitrarily taken from a large variety of (super-polynomial) growth types. This (partiall…