Question: Let a be a ring. An element a E R is nilpotent if there exists n E N such that a = 0. %3D

Let a be a ring. An element a E R is nilpotent

Let a be a ring. An element a E R is nilpotent if there exists n E N such that a" = 0. %3D (a) Show that every non-zero nilpotent element a is a zero divisor. (Hint: consider {k N|a* = 0}). %3D

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