Teorema fundamental sobre homomorfismos - definition

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Teorema fundamental sobre homomorfismos - definition



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Teorema fundamental sobre homomorfismos



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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