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Sia un dominio a ideali principali, che non sia un campo e sia un'algebra di Lie su . Principale risultato: Se , cioè se è prodotto intrecciato delle algebre di Lie precarie e , ogni isomorfismo reticolare normale di è indotto da un isomorfismo. Si prova anche, mediante un esempio, che per le algebre sopra un campo il teorema non è vero.
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