3 citations · 3 across the 5 of their papers we have counts for
4 papers · 1 filter
On the simplicity of Katsura algebras
Josiah Aakre, Nóra Szakács
We give a complete characterization of the (purely infinite) simplicity of Katsura algebras and the associated Steinberg algebras. This is achieved by characterizing when the singu…
On the simplicity of Nekrashevych algebras of contracting self-similar groups
Benjamin Steinberg, Nóra Szakács
Nekrashevych algebras of self-similar group actions are natural generalizations of the classical Leavitt algebras. They are discrete analogues of the corresponding Nekrashevych $C^…
Simplicity of inverse semigroup and étale groupoid algebras
Benjamin Steinberg, Nóra Szakács
In this paper, we prove that the algebra of an étale groupoid with totally disconnected unit space has a simple algebra over a field if and only if the groupoid is minimal and effe…
On the number of slim, semimodular lattices
Gábor Czédli, Tamás Dékány, László Ozsvárt +2
A lattice L is slim if it is finite and the set of its join-irreducible elements contains no three-element antichain. Slim, semimodular lattices were previously characterized by G.…