Adjective
monoidal (not comparable)
Of, pertaining to, or being a monoid.
Category theoretical description main Every ring can be thought of as a monoid in Ab, the category of abelian groups (thought of as a monoidal category under the tensor product of -modules ). Source: Internet
More precisely, a monoidal category is the class of all things (of a given type ) that have a tensor product. Source: Internet
That is, the monoidal category captures precisely the meaning of a tensor product; it captures exactly the notion of why it is that tensor products behave the way they do. Source: Internet
The category of sets is closed monoidal, but so is the category of vector spaces, giving the notion of bilinear transformation above. Source: Internet
The general concept of a "tensor product" is captured by monoidal categories ; that is, the class of all things that have a tensor product is a monoidal category. Source: Internet