三角范畴的有限维数
范畴论
2024-09-04 v3 代数几何
表示论
摘要
引入了三角范畴的有限维数。对于环上的完美复形范畴，证明了该维数有限当且仅当环的小有限维数有限。
引用
@article{arxiv.2307.12671,
title = {The finitistic dimension of a triangulated category},
author = {Henning Krause},
journal= {arXiv preprint arXiv:2307.12671},
year = {2024}
}
备注
8 pages. Added an appendix about the big finitistic dimension. Final version that has been accepted for publication with the Proceedings of the American Mathematical Society