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a torsion-free rank equal to 1.
*If R is any ring and n a natural number, then the cartesian product Rⁿ is both a left and right R-module over R if we use the component-wise operations. Hence when 1=''n'' = 1, R is an R-module, where the scalar multiplication is just ring multiplication. The case 1=''n'' = 0 yields the trivial R-module {0} consisting only of its identity element. Modules of this type are

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