Special homological dimensions and Intersection Theorem
Abstract
Let (R,) be commutative Noetherian local ring. It is shown that R is Cohen--Macaulay ring if there exists a Cohen--Macaulay finite (i.e. finitely generated) R--module with finite upper Gorenstein dimension. In addition, we show that, in the Intersection Theorem, projective dimension can be replaced by quasi--projective dimension.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.