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arXiv · 2506.02691

Homological invariant properties under cleft extensions

Li Liang·Yajun Ma·Gang Yang
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Abstract

We study the behavior of the Gorenstein weak global dimension under a cleft extension of rings; we prove that under some mild conditons the finiteness of the Gorenstein weak global dimension is invariant. Moreover, we compare the relative singularity categories with respect to flat-cotorsion modules under a cleft extension of rings. Some applications to {\theta}-extensions and Morita context rings are given.

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Li Liang, Yajun Ma, Gang Yang. 2025-06-03. Homological invariant properties under cleft extensions. https://arxiv.org/abs/2506.02691

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