The definition of R-algebra and R-module looks somewhat similar when R is a commutative ring.(adsbygoogle = window.adsbygoogle || []).push({});

For instance, R[x] is both an R-algebra and R-module.

I'll appreciate if anyone shows an example which is an R-algebra but not an R-module, and vice versa.

Thanks.

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# Difference between R-algebra and R-module (R is a commutative ring)

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