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math.GR2016
Closed inverse subsemigroups of graph inverse semigroups
Amal AlAli, N. D. Gilbert
As part of his study of representations of the polycylic monoids, M.V. Lawson described all the closed inverse submonoids of a polycyclic monoid and classified them up to con…
math.GR2016★ 1 cited
Inverse subsemigroups of finite index in finitely generated inverse semigroups
Amal AlAli, N. D. Gilbert
The index of a subgroup of a group counts the number of cosets of that subgroup. A subgroup of finite index often shares structural properties with the group, and the existence of…
math.GR2015
Linear growth for semigroups which are disjoint unions of finitely many copies of the free monogenic semigroup
Nabilah Abughazalah, Pavel Etingof
We show that every semigroup which is a finite disjoint union of copies of the free monogenic semigroup (natural numbers under addition) has linear growth. This implies that the th…