C -Semigroups and Their Induced Order

Daniel Marín-Aragón () and Raquel Tapia-Ramos
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Daniel Marín-Aragón: Departamento de Matemáticas, Facultad de Ciencias, Universidad de Cádiz, E-11510 Puerto Real, Spain
Raquel Tapia-Ramos: Departamento de Matemáticas, Facultad de Ciencias, Universidad de Cádiz, E-11510 Puerto Real, Spain

Mathematics, 2024, vol. 12, issue 18, 1-8

Abstract: Let C ⊂ N p be an integer polyhedral cone. An affine semigroup S ⊂ C is a C -semigroup if | C ∖ S | < + ∞ . 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 C -semigroups.

Keywords: C -semigroup; Wilf’s conjecture; commutative monoids (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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