[[Category of left modules]] # Category of modules over a commutative ring Let $R$ be a [[commutative ring]]. Then [[Category of left modules]] is a [[Monoidal closed category]] under the normal [[Tensor product of modules over a commutative ring|tensor product]] with $R$ regarded as an $R$-module as its tensor unit. #m/thm/module See also the special case of [[Category of vector spaces]]. # --- #state/develop | #lang/en | #SemBr