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arXiv · 2506.09831

Acyclic complexes and regular rings

Lars Winther Christensen·Sergio Estrada·Peder Thompson
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Abstract

A 2009 paper by Iacob and Iyengar characterizes noetherian regular rings in terms of properties of complexes of projective modules, flat modules, and injective modules. We show that the relevant properties of such complexes are equivalent without reference to regularity of the ring and that they characterize coherent regular rings and von Neumann regular rings.

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Lars Winther Christensen, Sergio Estrada, Peder Thompson. 2025-06-11. Acyclic complexes and regular rings. https://arxiv.org/abs/2506.09831

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