Teorema fundamental sobre homomorfismos - definition

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Teorema fundamental sobre homomorfismos - definition



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En álgebra abstracta, para un número de estructuras algebraicas, el teorema fundamental sobre homomorfismos relaciona la estructura de dos objetos entre los cuales se dé un homomorfismo, y del núcleo y de la imagen del homomorfismo.

Para los grupos, el teorema afirma:
Sean G y H grupos; sea f: G -> H un homomorfismo de grupos; sea K el núcleo de f; sea f el homomorfismo suryectivo natural G -> G/K. Entonces existe un homomorfismo único h: G/K -> H tales que f = h.f. Por otra parte, h es inyectivo y proporciona un isomorfismo entre G/K y la imagen de f.

http://es.wikipedia.org/wiki/Teorema%20fundamental%20sobre%20homomorfismos



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