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From my textbook:

A free R-module is "A left R-module F is called a

I know that another definition of an R-module a module with a basis...but I don't know how to connect that definition with this one. Also, what does "copies of R" mean?

Thanks in advance

A free R-module is "A left R-module F is called a

*left R-module if F is isomorphic to a direct sum of copies of R..."***free**I know that another definition of an R-module a module with a basis...but I don't know how to connect that definition with this one. Also, what does "copies of R" mean?

Thanks in advance

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