%0 Journal Article %A Marín Aragón, Daniel %A Tapia Ramos, Raquel %T C-Semigroups and Their Induced Order %D 2024 %@ 2227-7390 %U http://hdl.handle.net/10498/35793 %X Let (Formula presented.) be an integer polyhedral cone. An affine semigroup (Formula presented.) is a (Formula presented.) -semigroup if (Formula presented.). This structure has always been studied using a monomial order. The main issue is that the choice of these orders is arbitrary. In the present work, we choose the order given by the semigroup itself, which is a more natural order. This allows us to generalise some of the definitions and results known from numerical semigroup theory to (Formula presented.) -semigroups. %K C-semigroup %K commutative monoids %K Wilf’s conjecture %~ Universidad de Cádiz