Work

Module factorizations

Year: 2026

Type: article

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.

Source: Forum Mathematicum

DOI: 10.1515/forum-2025-0382

Author: Xiao-Wu Chen

Institution: University of Science and Technology of China

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,712

Funders: National Natural Science Foundation of China, National Key Research and Development Program of China