4 papers
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…
Factorization in Finitely-Presented Monoids
Alfred Geroldinger, Zachary Mesyan
We study arithmetic properties of factorizations of elements into products of generators, in monoids given with explicit presentations. After relating and comparing this perspectiv…
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.
Conjugacy and Least Commutative Congruences in Semigroups
Zachary Mesyan
Given a semigroup and , write if and , for some . This relation, known as "primary conjugacy", along with its trans…