cartesian symmetric monoidal category of sets
cartesian symmetric monoidal category of small categories
cartesian symmetric monoidal category of topological spaces
cocartesian symmetric monoidal category of sets
symmetric monoidal category of abelian groups
symmetric monoidal category of finite-dimensional vector spaces
symmetric monoidal category of finitely generated abelian groups
symmetric monoidal category of modules over a commutative ring
symmetric monoidal category of modules over a non-absolutely flat commutative ring
symmetric monoidal category of modules over an absolutely flat commutative ring
symmetric monoidal poset of natural numbers
trivial symmetric monoidal category