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math.RA2026
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…
math.RA2025
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.
math.RA2024
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…