35 citations · 254 across the 32 of their papers we have counts for
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math.LO2011★ 3 cited
The Bergman-Shelah Preorder on Transformation Semigroups
Z. Mesyan, J. D. Mitchell, M. Morayne +1
Let $\nat^\nat$ be the semigroup of all mappings on the natural numbers $\nat$, and let and be subsets of $\nat^\nat$. We write if there exists a countabl…
math.RA2011★ 20 cited
Simple Lie algebras arising from Leavitt path algebras
Gene Abrams, Zachary Mesyan
For a field K and directed graph E, we analyze those elements of the Leavitt path algebra L_K(E) which lie in the commutator subspace [L_K(E), L_K(E)]. This analysis allows us to g…
math.GR2011
Groups where free subgroups are abundant
Zachary Mesyan
Given an infinite topological group G and a cardinal k>0, we say that G is almost k-free if the set of k-tuples in G^k which freely generate free subgroups of G is dense in G^k. In…