Work

The finitistic dimension of a triangulated category

Year: 2024

Type: article

Abstract: The finitistic dimension of a triangulated category is introduced. For the category of perfect complexes over a ring it is shown that this dimension is finite if and only if the small finitistic dimension of the ring is finite.

Source: Proceedings of the American Mathematical Society Series B

DOI: 10.1090/bproc/242

Author: Henning Krause

Institution: Bielefeld University

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $750

Funder: Deutsche Forschungsgemeinschaft

Awards: G6601682123, TRR 358: Ganzzahlige Strukturen in Geometrie und Darstellungstheorie

OpenAlex ID: W4417060606

FWCI:

Cites: 16

Cited by:

Related to: