WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 22, 2023
Notes on subsemigroups of $$\mathbb{N}_0^m$$ (+)
Authors: , , ,
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 $$\mathbb{N}_0^m$$ (+).