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C -Semigroups and Their Induced Order

Author

Listed:
  • Daniel Marín-Aragón

    (Departamento de Matemáticas, Facultad de Ciencias, Universidad de Cádiz, E-11510 Puerto Real, Spain
    Avda. Universidad de Cádiz, n° 10, 11519 Campus Universitario de Puerto Real Dirección Postal, Cádiz, Spain.)

  • Raquel Tapia-Ramos

    (Departamento de Matemáticas, Facultad de Ciencias, Universidad de Cádiz, E-11510 Puerto Real, Spain
    Avda. Universidad de Cádiz, n° 10, 11519 Campus Universitario de Puerto Real Dirección Postal, Cádiz, Spain.)

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.

Suggested Citation

  • Daniel Marín-Aragón & Raquel Tapia-Ramos, 2024. "C -Semigroups and Their Induced Order," Mathematics, MDPI, vol. 12(18), pages 1-8, September.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:18:p:2889-:d:1479195
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