An alternative look at the structure of graph inverse semigroups

Serhii Bardyla

For any graph inverse semigroup $G(E)$ we describe subsemigroups $D^0=D\cup \{0\}$ and $J^0=J\cup \{0\}$ of $G(E)$ where $D$ and $J$ are arbitrary $\mathcal{D}$-class and $\mathcal{J…