Syzygies of the residue field over Golod rings
Abstract Let be a Golod ring. We give a recurrence formula for the high syzygies of in terms of the previous ones. When has embedding dimension at most 2, we explicitly determine the indecomposable summands of all syzygies of .
Authors
- Toshinori Kobayashi (ORCID: https://orcid.org/0000-0002-1294-8144)
- Hailong Dao (ORCID: https://orcid.org/0000-0001-8109-9724)
- David Eisenbud (ORCID: https://orcid.org/0000-0002-5418-5579)
- Claudia Polini
- Đoàn Trung Cường (ORCID: https://orcid.org/0000-0002-1107-6591)
- Bernd Ulrich
Institutions
- University of Notre Dame (US)
- University of Kansas (US)
- Meiji University (JP)
- Purdue University West Lafayette (US)
- Institute of Mathematics (VN)
- Vietnam Academy of Science and Technology (VN)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2026-09-24
- DOI
- https://doi.org/10.1112/blms.70498
- Primary Topic
- Rings, Modules, and Algebras
- Type
- article
- Field-Weighted Citation Impact
- 0.00