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Answer by Pierre-Guy Plamondon for Free modules over commutative ring...
If I understand correctly, you say that an $R$-module $M$ is free if there exists a subset $X$ of $M$ such that the map$$ R^{(X)}\to M: (r_x)_{x\in X}\mapsto \sum_{x\in X}r_x\cdot x$$is bijective.In...
View ArticleFree modules over commutative ring (possibly without unity) where free means...
Let us define free module over a ring (possibly without unity) as:Def: M is said to be free module over ring R (possibly without unity) if there exist X subset of M such that X is LI and spans M. Any...
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