Examples of using Morphisms in English and their translations into Portuguese
{-}
-
Colloquial
-
Official
-
Medicine
-
Financial
-
Ecclesiastic
-
Ecclesiastic
-
Computer
-
Official/political
where morphisms are functions,
the identity morphisms, and a single morphism f from A to B,
The collection of all morphisms from X to Y is denoted homC(X,
Dually to monomorphisms, a morphism f: X→ Y is called an epimorphism if g1∘ f g2∘ f implies g1 g2 for all morphisms g1, g2: Y→ Z. It is also called an epi or an epic.
A morphism f: X→ Y is called a monomorphism if f∘ g1 f∘ g2 implies g1 g2 for all morphisms g1, g2: Z→ X. It is also called a mono or a monic.
having a base clopens and morphisms are continuous functions between them.
X→ A, and morphisms are pairs of functions f:
then we can view an associative algebra over K as a K-vector space A endowed with two morphisms(one of the form A⊗A→A
a full functor need not be surjective on objects or morphisms.
One naturally obtains from this definition"canonical morphisms" formula_23 sending each element to its equivalence class.
Then we have a functorial codi cation for the equipollence and dense morphisms between logics.
Likewise, the category of topological groups(whose morphisms are the continuous group homomorphisms) is a category of topological spaces with extra structure.
Note that the term hom-set is something of a misnomer, as the collection of morphisms is not required to be a set.
the objects will be sets with some additional structure and the morphisms will be functions preserving that structure.
then they form a group under composition of morphisms.
We also study some results presented in[14] about irreducible morphisms in homotopic category kb(a),
In mathematics, an abelian category is a category in which morphisms and objects can be added
Morphisms with left inverses are always monomorphisms, but the converse is not always true in every category; a monomorphism may
then they form a group under composition of morphisms.
so field extensions are precisely the morphisms in the category of fields.