subcategory,supercategory,kind BanRing,CompNormGrp,commutative monoids CMon,Set,commutative monoids CRing,Ab,commutative monoids CommAlg(Ab),Mod(Ab),commutative monoids DGCAlg,Ch.(Vect_k),commutative monoids NormRing,NormGrp,commutative monoids