TY - THES A3 - Delgado de la Mata, Félix A3 - García Marco, Ignacio A3 - Giménez Martín, Philippe Thierry AU - González Sánchez, Mario PY - 2025 UR - https://uvadoc.uva.es/handle/10324/81884 AB - In this thesis, we study some interactions between commutative algebra and additive combinatorics. Based on recent works by Eliahou and Mazumdar, Elias, and Colarte-Gómez, Elias and Miró-Roig, we associate with each finite set A ⊂ ℕᵈ a projective... AB - En esta tesis, estudiamos algunas interacciones entre el ´algebra conmutativa y la combinatoria aditiva. Bas´andonos en los recientes trabajos de Eliahou [31], Elias [32], y Colarte-G´omez, Elias y Mir´o-Roig [18], a cada conjunto finito A ⊂ Nd... LA - spa KW - Algebra KW - Graded free resolutions KW - Resoluciones libres graduadas KW - Additive combinatorics KW - Combinatoria aditiva KW - Castelnuovo-Mumford regularity KW - Regularidad KW - Conjuntos suma KW - Sumsets TI - Syzygies, regularity, and their interplay with additive combinatorics M3 - info:eu-repo/semantics/doctoralThesis ER -