On the injective dimension of unit Cartier and unit Frobenius modules
Abstract Let be a regular ‐finite ring of prime characteristic . We prove that the injective dimension of every unit Frobenius module in the category of unit Frobenius modules is at most . We further show that for unit Cartier modules the same bound holds over any noetherian ‐finite ring of prime characteristic . This shows that is a uniform upper bound for the injective dimension of any unit Cartier module over a noetherian ‐finite ring .
Authors
- Manuel Blickle (ORCID: https://orcid.org/0009-0005-1209-503X)
- Wenliang Zhang (ORCID: https://orcid.org/0000-0002-4504-6059)
- Daniel Fink (ORCID: https://orcid.org/0000-0003-2953-7971)
- A. A. Wheeler
Institutions
- Johannes Gutenberg University Mainz (DE)
- University of Illinois Chicago (US)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2025-04-23
- DOI
- https://doi.org/10.1112/blms.70075
- Primary Topic
- Commutative Algebra and Its Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Deutsche Forschungsgemeinschaft