If a is nilpotent then 1-a is a unit | Abstract Algebra

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19. If a is nilpotent element then 1-a is a unit in ring | ring theory | AdnanAlig 19. If a is nilpotent element then 1-a is a unit in ring | ring theory | AdnanAlig
[Src. 2 Ex. 1.1] The sum of a unit and a nilpotent is itself a unit! [Src. 2 Ex. 1.1] The sum of a unit and a nilpotent is itself a unit!
The sum of a nilpotent and a unit is a unit The sum of a nilpotent and a unit is a unit
AKPotW: Nilpotent Elements [Abstract Algebra] AKPotW: Nilpotent Elements [Abstract Algebra]
Group theory 18: Nilpotent groups Group theory 18: Nilpotent groups
Units of a polynomial ring (f(x) is a unit iff a_0 is a unit and a_1,...,a_n are nilpotent) Units of a polynomial ring (f(x) is a unit iff a_0 is a unit and a_1,...,a_n are nilpotent)
Idempotent, Nilpotent, Units ( Part-1) Idempotent, Nilpotent, Units ( Part-1)
Definition of a Nilpotent Matrix A Definition of a Nilpotent Matrix A