The finitistic dimension of a triangulated category

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.

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Publication Details

Journal
Proceedings of the American Mathematical Society Series B
Published
2024-10-30
DOI
https://doi.org/10.1090/bproc/242
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
0.00

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article

The finitistic dimension of a triangulated category

Henning Krause
Proceedings of the American Mathematical Society Series B
Algebraic structures and combinatorial models
article

The finitistic dimension of a triangulated category

Henning Krause
article en

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.

Proceedings of the American Mathematical Society Series BVol. 11(49)
Bielefeld University (DE)
Deutsche Forschungsgemeinschaft
Openalex Percentile: Top 59%
Algebraic structures and combinatorial models
DOIOpen Access PDFOpenAlex
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The finitistic dimension of a triangulated category — Henning Krause · Proceedings of the American Mathematical Society Series B (2024) | TGRS Research Map | TGRS