@misc{10498/35793, year = {2024}, url = {http://hdl.handle.net/10498/35793}, abstract = {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.}, publisher = {Multidisciplinary Digital Publishing Institute (MDPI)}, keywords = {C-semigroup}, keywords = {commutative monoids}, keywords = {Wilf’s conjecture}, title = {C-Semigroups and Their Induced Order}, doi = {10.3390/MATH12182889}, author = {Marín Aragón, Daniel and Tapia Ramos, Raquel}, }