The Gorenstein projective modules are precovering
Peter Jorgensen
TL;DR
This paper proves that Gorenstein projective modules form a precovering class in the module category of rings with a dualizing complex, advancing the understanding of their structural properties.
Contribution
It establishes that Gorenstein projective modules are precovering in rings with a dualizing complex, a significant step in Gorenstein homological algebra.
Findings
Gorenstein projective modules form a precovering class
The result applies to rings with a dualizing complex
Advances understanding of module categories in Gorenstein homological algebra
Abstract
The Gorenstein projective modules are proved to form a precovering class in the module category of a ring which has a dualizing complex.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Commutative Algebra and Its Applications