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Acyclic complexes and regular rings
Published 11 Jun 2025 in math.RA | (2506.09831v1)
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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