Work

On the injective dimension of unit Cartier and unit Frobenius modules

Year: 2025

Type: article

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 .

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70075

Authors: Manuel Blickle, Daniel Fink, Alexandria Wheeler, Wenliang Zhang

Institutions: Johannes Gutenberg University Mainz, University of Illinois Chicago

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funders: National Science Foundation, Deutsche Forschungsgemeinschaft