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arXiv · 2001.03883

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

Muhammad Inam
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Abstract

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

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Muhammad Inam. 2020-01-12. The word problem for some classes of one relation Adian inverse semigroups. https://arxiv.org/abs/2001.03883

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