Abstract: The paper summarizes and extends the knowledge of various subsemigroups of $$\mathbb{N}_0^m$$ (+) $$(= \mathbb{N}_{0}(+)^{m})$$. It creates a theoretical basis for further study in this area and applications in other areas, such as the investigation of context-free languages. The last chapter introduces the notion of pure subsemigroups and presents one construction of a pure subsemigroup to a chosen semisubgroup of $$\mathbb{N}_0^m$$ (+).
Barbora Batíková, Antonín Jančařík, Petr Němec, Tomáš Kepka, "Notes on subsemigroups of $$\mathbb{N}_0^m$$ (+)," WSEAS Transactions on Mathematics, vol. 22, pp. 773-780, 2023, DOI:10.37394/23206.2023.22.85
Barbora Batíková, Antonín Jančařík, Petr Němec, Tomáš Kepka. Notes on subsemigroups of $$\mathbb{N}_0^m$$ (+).
WSEAS Transactions on Mathematics. 2023;22:773-780. 10.37394/23206.2023.22.85