Congruences on bicyclic extensions of a linearly ordered group

Oleg Gutik, Dušan Pagon, Kateryna Pavlyk

In the paper we study inverse semigroups $\mathcal{B}(G)$, ${\mathcal{B}}^{+}(G)$, $\bar{\mathcal{B}}(G)$ and $\bar{\mathcal{B}}{}^{+}(G)$ which are generated by partial monotone injecti…