Article Summary

Article Name:

Article: Miller, Ezra. 1999. The Alexander duality functors and local duality with monomial support

Purpose fo the Aticle:

The functors associated with Alexander duality provide a duality on the level of free and injective resolutions, and numerous Bass and Betti number relations result as corollaries.

Research Question

Does a minimal injective resolution of a module M is equivalent to the injective resolution of its Alexander dual?

This question is important because according to this item, Alexander duality has, in the past, made its way into commutative algebra through Stanley- Reisner rings of simplicial complexes.

Thesis Statement:

Duality is generalized to random monomial ideals

Discussion

This ...