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6.4: Homomorfismos

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    Cabe mencionar que los mapas lineales entre espacios vectoriales también se denominan homomorfismos de espacio vectorial. En lugar de la notación\( \mathcal{L} (V,W) \), uno suele ser el ees de la convención

    \[ \mathrm{Hom}_\mathbb{F} (V,W) = \{ T:V \to W \mid \text{ T is linear} \}. \]

    Un homomorfismo también\(T:V \to W \) se llama a menudo

    1. El monomorfismo si\(T \) es inyectivo;
    2. El epimorfismo si\(T \) es surytivo;
    3. Isomorfismo iff\(T \) es biyectiva;
    4. Endomorfismo iff\(V=W \);
    5. Automorfismo iff\(V=W \) y\(T \) es biyectiva.

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    This page titled 6.4: Homomorfismos was last modified on Sun, 30 Oct 2022 15:31:01 GMT and is shared under a not declared license and was authored, remixed, and/or curated by Isaiah Lankham, Bruno Nachtergaele, and Anne Schilling.