4 papers
math.GR2026
The word problem for a family of one relation Adian inverse semigroups
Muhammad Inam
The word problem for an Adian inverse semigroup given by the presentation , where , is decidable.
math.GR2023
The word problem for some classes of Adian inverse semigroups -- II
Muhammad Inam
We introduce the notion of a subgraph generated by an -word of the Schützenberger graph of a positive word , , where contains as its subword. We show that…
math.GR2020
The word problem for some classes of one relation Adian inverse semigroups
Muhammad Inam
We show that if the Schützenberger graph of every positive word, that contains an -word only once as it's subword, is finite over an Adain presentation , t…
math.GR2017
The word problem for some classes of Adian inverse semigroups
Muhammad Inam
We show that all of the Schützenberger complexes of an Adian inverse semigroup are finite if the Schützenberger complex of every positive word is finite. This enables us to solve t…