English

The word problem for some classes of one relation Adian inverse semigroups

Group Theory 2020-01-14 v1 Combinatorics

Abstract

We show that if the Sch\"{u}tzenberger graph of every positive word, that contains an RR-word only once as it's subword, is finite over an Adain presentation Xu=v\langle X|u=v\rangle, then the Sch\"{u}tzenberger graph of every positive word is finite over the presentation Xu=v\langle X|u=v\rangle. This enable us to solve the word problem ffor some classes of one relation Adian inverse semigroups.

Keywords

Cite

@article{arxiv.2001.03883,
  title  = {The word problem for some classes of one relation Adian inverse semigroups},
  author = {Muhammad Inam},
  journal= {arXiv preprint arXiv:2001.03883},
  year   = {2020}
}