Estudio de invariantes en la teoría de factorización para monoides cancelativos y finitamente generados

• Autores: Daniel Marín Aragón
• Directores de la Tesis: Juan Ignacio García García (dir. tes.), María Angeles Moreno Frías (codir. tes.)
• Lectura: En la Universidad de Cádiz ( España ) en 2020
• Idioma: español
• Tribunal Calificador de la Tesis: Ignacio Ojeda Martínez de Castilla (presid.), Bartolomé López Jiménez (secret.), Manuel Batista Branco (voc.)
• Programa de doctorado: Programa de Doctorado en Matemáticas por la Universidad de Almería; la Universidad de Cádiz; la Universidad de Granada; la Universidad de Jaén y la Universidad de Málaga
• Materias:
  • Matemáticas
    • Álgebra
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• Resumen

  • During the development of this work we have studied numerical and affine semigroups. First we have started working on numerical semigroups and then we have generalized the structure to affine semigroups. We have studied the latter as independent identities and have transferred some properties and conjectures that we had already studied in the numerical case to the affine case.

    Among the factorization invariats which have been studied we highlight the set of lenghts and the Delta-set.