# name
Propiedad Cohen-Macaulay en complejos simpliciales shellable

# metadata.dc.description[].value
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Santiago Zarzuela

# metadata.dc.description.abstract[].value
[en] The main goal of this project is to prove the Stanley-Reisner ring of a shellable simplicial complex is Cohen-Macaulay over every field. To do so, we study the necessary theory from a non-homological standpoint in a selfcontained manner.
In particular we study associated primes, dimension and grade of a module and how these pave the way for Cohen-Macaulay theory. We continue studying simplicial complexes and basic Stanley-Reisner theory, proving the needed results in order to prove our goal.

# metadata.dc.source[].value
Treballs Finals de Grau (TFG) - Matemàtiques

# metadata.dc.title[].value
Propiedad Cohen-Macaulay en complejos simpliciales shellable