Local Cohomology and Maximal Generalized Modules

Abstract

Aims: Study of commutative algebra.Study Design: Cross-sectional study.Place and Duration of Study: University of São Paulo, August 2021 to October 2022.Methodology: Study through books and articles.Results: The article study the relation between local cohomology defined by an ideal and cohomological dimension.Conclusion: With the results of the paper, we show the importance of the local cohomology theory as a study tool within of the commutative algebra theory.