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in an abelian category, every morphism "f" can be written as the composition of an epimorphism followed by a monomorphism.
en una categoría abeliana, todo morfismo "f" se puede escribir como la composición de un epimorfismo seguido de un monomorfismo.
the curious fact about this morphism is that, although the melanic forms are more common in industrial areas, its maintenance has nothing to do with cryptic camouflage and predation.
un hecho curioso de este polimorfismo es que aunque las formas melanísticas son más comunes en las áreas industriales, su mantenimiento no tiene nada que ver con el camuflaje y la depredación.
* a category is called cartesian closed if it has finite direct products and a morphism defined on a finite product can always be represented by a morphism defined on just one of the factors.
* a category is called cartesian closed if it has finite direct products and a morphism defined on a finite product can always be represented by a morphism defined on just one of the factors.
(the set of morphisms from the symmetric group "s"3 of order three to itself, formula_1, has ten elements: an element "z" whose product on either side with every element of "e" is "z" (the homomorphism sending every element to the identity), three elements such that their product on one fixed side is always itself (the projections onto the three subgroups of order two), and six automorphisms.
3 de orden 3 en si mismo, formula_1, tiene diez elementos, un elemento "z" cuyo producto por ambos lados con cualquier elemento de "e" es "z" (el homomorfismos manda a cualquier elemento a el elemento identidad), tres elementos tal que su producto en algún lado fijo es siempre el mismo (la proyección sobre los tres subgrupos de orden dos), y seis automorfismos.