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math.GR2020★ 5 cited
Semigroups whose right ideals are finitely generated
Craig Miller
We call a semigroup weakly right noetherian if every right ideal of is finitely generated; equivalently, satisfies the ascending chain condition on right ideals. We pro…
math.GR2020
On separability finiteness conditions in semigroups
Craig Miller, Gerard O'Reilly, Martyn Quick +1
Taking residual finiteness as a starting point, we consider three related finiteness properties: weak subsemigroup separability, strong subsemigroup separability and complete separ…
math.GR2020
Semigroups for which every right congruence of finite index is finitely generated
Craig Miller
We call a semigroup f-noetherian if every right congruence of finite index on is finitely generated. We prove that every finitely generated semigroup is f-noetherian, and i…