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math.GR2026
Howson property and finitely generated intersection problem for monogenic inverse semigroups
Jung Won Cho, Craig Miller, Nik Ruškuc
An algebraic structure is said to have the Howson property if the intersection of any two finitely generated subalgebras is finitely generated. We explore the Howson property in th…
math.GR2024
On Finite Presentability of Subsemigroups of the Monogenic Free Inverse Semigroup
Yung Won Cho, Nik Ruskuc
The monogenic free inverse semigroup is not finitely presented as a semigroup due to the classic result by Schein (1975). We extend this result and prove that a finitely gen…
math.GR2024
Graph products of residually finite monoids are residually finite
Jung Won Cho, Victoria Gould, Nik Ruškuc +1
We show that any graph product of residually finite monoids is residually finite. As a special case we obtain that any free product of residually finite monoids is residually finit…