2 citations · 2 across the 3 of their papers we have counts for
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Graded Lawson-Stone Duality
Roozbeh Hazrat, Zachary Mesyan
The classical Stone duality associates to each Boolean algebra a topological space consisting of ultrafilters. Lawson's generalisation constructs a dual equivalence of categories o…
Maximal Commutative Subalgebras of Steinberg Algebras
Anna Cichocka, Zachary Mesyan, Michal Ziembowski
We construct large classes of maximal commutative subalgebras in prime Steinberg algebras, generalizing a known result for Leavitt path algebras.
Unifying some classical results on Artinian rings and modules
Donovan Leyba, Zachary Mesyan, Greg Oman
In this note, we introduce a very crude but natural notion of measure on the class of left R-modules over a ring R. We use this notion to give short proofs of some classical theore…
Products of Ideals in Leavitt Path Algebras
Gene Abrams, Zachary Mesyan, Kulumani M. Rangaswamy
Ideals in Leavitt path algebras have been shown to share many properties with those of integral domains. Since studying factorizations of ideals in integral domains into special ty…
Infinite-Dimensional Triangularizable Algebras
Zachary Mesyan
Let End(V) denote the ring of all linear transformations of an arbitrary k-vector space V over a field k. We define a subset X of End(V) to be "triangularizable" if V has a well-or…