# Additive closed symmetric monoidal structures on R-modules

@article{Hovey2009AdditiveCS, title={Additive closed symmetric monoidal structures on R-modules}, author={M. Hovey}, journal={Journal of Pure and Applied Algebra}, year={2009}, volume={215}, pages={789-805} }

Abstract In this paper, we classify additive closed symmetric monoidal structures on the category of left R -modules by using Watts’ theorem. An additive closed symmetric monoidal structure is equivalent to an R -module Λ A , B equipped with two commuting right R -module structures represented by the symbols A and B , an R -module K to serve as the unit, and certain isomorphisms. We use this result to look at simple cases. We find rings R for which there are no additive closed symmetric… CONTINUE READING

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