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We introduce a notion of pure-minimality for chain complexes of modules and show that it coincides with (homotopic) minimality in standard settings, while being a more useful notion for complexes of flat modules. As applications, we characterize von Neumann regular rings and left perfect rings.
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Lars Winther Christensen, Peder Thompson, Pure-minimal chain complexes. Rend. Sem. Mat. Univ. Padova 142 (2019), pp. 41–67