On \(\mathbb{P} M\)-monoids and braid \(\mathbb{P} M\)-monoids (Q2307603)

The author defines two monoids analogous to the symmetric group \(S_n\) and the braid group \(B_n\), which are called \(\mathbb{P}M\) monoid and braid \(\mathbb{P}M\) monoid respectively. He shows that a \(\mathbb{P}M\) monoid has a presentation with generators and relators. Moreover he gives a solution to the word problem of the braid \(\mathbb{P}M\) monoid.