35 citations · 254 across the 32 of their papers we have counts for
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math.RA2015★ 5 cited
Realizing posets as prime spectra of Leavitt path algebras
Gene Abrams, Gonzalo Aranda Pino, Zachary Mesyan +1
We associate in a natural way to any partially ordered set a directed graph (where the vertices of correspond to the elements of , and the edges of …
math.RA2015★ 5 cited
Traces on Semigroup Rings and Leavitt Path Algebras
Zachary Mesyan, Lia Vas
The trace on matrix rings, along with the augmentation map and Kaplansky trace on group rings, are some of the many examples of linear functions on algebras that vanish on all comm…
math.RA2015★ 18 cited
Infinite-dimensional diagonalization and semisimplicity
Miodrag C. Iovanov, Zachary Mesyan, Manuel L. Reyes
We characterize the diagonalizable subalgebras of End(V), the full ring of linear operators on a vector space V over a field, in a manner that directly generalizes the classical th…