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- W2952083721 abstract "In this paper we show that polycyclic monoids are universal objects in the class of graph inverse semigroups. In particular, we prove that a graph inverse semigroup $G(E)$ over a directed graph $E$ embeds into the polycyclic monoid $mathcal{P}_{lambda}$ where $lambda=|G(E)|$. We show that each graph inverse semigroup $G(E)$ admits the coarsest inverse semigroup topology $tau$. Moreover, each injective homomorphism from $(G(E),tau)$ to the $(mathcal{P}_{|G(E)|},tau)$ is a topological embedding." @default.
- W2952083721 created "2019-06-27" @default.
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- W2952083721 date "2017-08-30" @default.
- W2952083721 modified "2023-09-27" @default.
- W2952083721 title "On universal objects in the class of graph inverse semigroups." @default.
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