monoidal

Adjective

Meaning

monoidal (not comparable)

Of, pertaining to, or being a monoid.

Anagrams

Examples

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

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