One well-knowncategory has sets as objects and functions as arrows.
Just as a monoidconsists of an underlyingset with a binary operation "on top of it" which is closed, associative and with an identity, a categoryconsists of an underlyingdigraph with an arrow composition operation "on top of it" which is transitivelyclosed, associative, and with an identity at eachobject. In fact, a category's composition operation, when restricted to a single one of its objects, turns that object's set of arrows (which would all be loops) into a monoid.
Utilisé au milieu de la phrase
Heversedus in the finer points of categorytheory.
A new semisymmetrization functor, which maps the category of quasigroups with homotopies to the category of semisymmetric quasigroups with homomorphisms is given.
Finally, in LC-MS/MS, the mostpopulatedcategorycorresponded to fatty acids (36%), followed byamino acids (22%), and sphingolipids and spingoid bases (21%).
Meaning of category for the defined word.
Grammaticalement, ce mot "category" est un nom, plus spécifiquement, un noms dénombrable.