CatDat

• Notation: $(R{-}\Mod,\otimes,R)$
• Underlying category: category of left modules over a ring
• Parent: $(R{-}\Mod,\otimes,R)$
• Related symmetric monoidal categories: $(\FinVect_K,\otimes,K)$
• nLab Link

This is the special case of this entry where we assume that $R$ is absolutely flat and non-zero. For example, every field has this property, so that this entry also includes the symmetric monoidal category of vector spaces.