higher dimensional ideal approximation theory

Ideal approximation theory is a gentle generalization of the clas-sical approximation theory and deals with morphisms and ideals instead ofobjects and subcategories. our aim in this presentation is to study ideal ap-proximation theory over n-exact categories. in particular, the higher versionof the notions such as ideal cotorsion pairs, phantom ideals, salce's lemmaand wakamatsu's lemma for ideals will be introduced and studied. themain source of n-exact categories are n-cluster tilting subcategories of exactcategories.