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Let-R-be-a-cummutative-ring-with-1-and-a-b-member-of-R-Suppose-a-is-invertible-and-b-is-nilpotent-Show-that-a-b-is-invertible-




Question Number 12843 by tawa last updated on 04/May/17
Let R be a cummutative ring with 1. and a,b  member of R. Suppose a is  invertible and b is nilpotent. Show that a + b is invertible.
LetRbeacummutativeringwith1.anda,bmemberofR.Supposeaisinvertibleandbisnilpotent.Showthata+bisinvertible.

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