Local Cohomology and Maximal Generalized Modules
C. H. Tognon *
Department of Mathematics, University of São Paulo, ICMC, São Carlos, SP, Brazil.
*Author to whom correspondence should be addressed.
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.
Keywords: Local cohomology modules, Noetherian ring, generalized fg -modules, cohomological dimension