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math.GR2026
The word problem for two-generator one-relator inverse monoids
Robert D. Gray, Catherine Reilly
We study the word problem in two-generator one-relator inverse monoids, proving both decidability and undecidability results. We give the first example of a two-generator one-relat…
math.GR2024
A characterisation of semigroups with only countably many subdirect products with
Ashley Clayton, Catherine Reilly, Nik Ruškuc
Let be the additive (semi)group of integers. We prove that for a finite semigroup the direct product contains only countably many subdirect pr…