Monogene Algebra/Kähler-Modul/Annullator/Aufgabe

Es sei ${}A=R[X]/{\mathfrak {a}}$ eine monogene ${}R$ -Algebra und es sei ${}{\mathfrak {b}}=\operatorname {Ann} _{}{\left(dX\right)}$ der Annullator von ${}dX$ im Modul der Kähler-Differentiale ${}\Omega _{A{|}R}$ . Zeige

{}\Omega _{A{|}R}\cong A/{\mathfrak {b}}\,.

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