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a left R-module and a right S-module, satisfying the additional condition 1=(''r'' · ''x'') * ''s'' = ''r'' · (''x'' * ''s'') for all r in R, x in M, and s in S.

If R is commutative, then left R-modules are the same as right R-modules and are simply called R-modules. Most often the scalars are written on the left in this case.

Examples

*If K is a field, then K-modules are called K-vector spaces

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