Module factorizations
Abstract
Abstract For a regular normal element in an arbitrary ring, we study the category of its module factorizations. The cokernel functor relates module factorizations with Gorenstein projective components to Gorenstein projective modules over the quotient ring. The results are vast extensions of Eisenbud’s matrix factorization theorem.
Fields of Study & Subjects
Algebraic structures and combinatorial models
Commutative Algebra and Its Applications
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Forum Mathematicum
- Publisher
- Walter de Gruyter GmbH
- Publication date
- 30 June 2026
- Language
- EN