Lazard's criterion says that a module over a commutative ring is flat if and only if it is a filtered colimit of free modules. Does the graded version hold, i.e.: A graded module over a graded commutative ring is flat (w.r.t. the usual graded module tensor product) if is a filtered colimit of graded free modules?
2026-03-25 20:35:25.1774470925
Graded version of Lazard's criterion
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