46 citations · 232 across the 47 of their papers we have counts for
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math.RA2003
On algebras that almost have finite dimensional representations
Gábor Elek
We introduce the notion of almost finite dimensionality of algebras and study its connection with the classical finiteness conditions.
math.RA2003
The amenability and non-amenability of skew fields
Gábor Elek
We investigate the amenability of skew filed extensions of the complex numbers. We prove that all skew fields of finite Gelfand-Kirillov transcendence degree are amenable. However…
math.GR2003
On sofic groups
G. Elek, E. Szabo
Answering some queries of Weiss, we prove that the free product and amenable extensions of sofic groups are sofic as well, and give an example of a finitely generated sofic group t…