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arXiv · 2411.07804

Three homological invariants under cleft extensions

Yajun Ma·Junling Zheng·Yu-Zhe Liu
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Abstract

In this paper, we investigate the behavior of Igusa-Todorov distances, extension and Rouquier dimensions under cleft extensions of abelian categories. We apply our results to Morita context rings, trivial extension rings, tensor rings and arrow removals.

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Yajun Ma, Junling Zheng, Yu-Zhe Liu. 2024-11-12. Three homological invariants under cleft extensions. https://arxiv.org/abs/2411.07804

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