In mathematics, a stably free module is a module which is close to being free.
Definition A module M over a ring R is stably free if there exists a free finitely generated module F over R such that is a free module.
Properties A projective module is stably free if and only if it possesses a finite free resolution. An infinitely generated module is stably free if and only if it is free.
See also Free object Eilenberg–Mazur swindle Hermite ring
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