symmetric monoidal category of modules over a non-absolutely flat commutative ring

 algebra
Notation (R−Mod,⊗,R)(R{-}\Mod,\otimes,R) Underlying category category of left modules over a ring Parent (R−Mod,⊗,R)(R{-}\Mod,\otimes,R) Children (Ab,⊗,Z)(\Ab,\otimes,\IZ) External nLab Link

This is the special case of (R−Mod,⊗,R)(R{-}\Mod,\otimes,R) where RR is a commutative ring that is not absolutely flat.

Satisfied Properties

Assigned properties

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Deduced properties

Unsatisfied Properties

Assigned properties

Deduced properties*

*This also uses the deduced satisfied properties.

Unknown properties

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Indistinguishable symmetric monoidal categories

These symmetric monoidal categories in the database currently have exactly the same properties as the symmetric monoidal category of modules over a non-absolutely flat commutative ring. This indicates that the data may be incomplete or that a distinguishing property may be missing from the database.