• DOI:10.1016/J.JPAA.2010.06.024
Corpus ID: 2644720

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}
}

M. Hovey

Published 2009

Mathematics

Journal of Pure and Applied Algebra

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

View PDF on arXiv

Save to Library

Create Alert

Cite

Launch Research Feed