Z. Mesyan

activity

20182025

most citedConjugacy and Least Commutative Congruences in Semigroups

2 citations · 2 across the 3 of their papers we have counts for

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math.GR2025

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…

math.GR2025★ 2 cited

Conjugacy and Least Commutative Congruences in Semigroups

Zachary Mesyan

Given a semigroup $S$ and $s, t \in S$ , write $s \sim_{p}^{1} t$ if $s = p r$ and $t = r p$ , for some $p, r \in S \cup {1}$ . This relation, known as "primary conjugacy", along with its trans…

math.GR2018

Topological Transformation Monoids

Z. Mesyan, J. D. Mitchell, Y. H. Péresse

We investigate semigroup topologies on the full transformation monoid T(X) of an infinite set X. We show that the standard pointwise topology is the weakest Hausdorff semigroup top…