RT journal article T1 C-Semigroups and Their Induced Order A1 Marín Aragón, Daniel A1 Tapia Ramos, Raquel A2 Matemáticas K1 C-semigroup K1 commutative monoids K1 Wilf’s conjecture AB 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. PB Multidisciplinary Digital Publishing Institute (MDPI) SN 2227-7390 YR 2024 FD 2024 LK http://hdl.handle.net/10498/35793 UL http://hdl.handle.net/10498/35793 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 10-may-2026