![abstract algebra - If $1-a$ and $1-b$ are nilpotent, then show that $1-ab$ is nilpotent. - Mathematics Stack Exchange abstract algebra - If $1-a$ and $1-b$ are nilpotent, then show that $1-ab$ is nilpotent. - Mathematics Stack Exchange](https://i.stack.imgur.com/H2oUL.jpg)
abstract algebra - If $1-a$ and $1-b$ are nilpotent, then show that $1-ab$ is nilpotent. - Mathematics Stack Exchange
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Nilpotent Elements | Ring Theory | CSIR NET JRF Mathematics 2022 Solution - Rajendra Rajpurohit - YouTube
![Theorem :- let R be a commutative ring , show that if a is nilpotent then ab is nilpotent for b ∈ R - YouTube Theorem :- let R be a commutative ring , show that if a is nilpotent then ab is nilpotent for b ∈ R - YouTube](https://i.ytimg.com/vi/LDkDAO6jCTU/maxresdefault.jpg)
Theorem :- let R be a commutative ring , show that if a is nilpotent then ab is nilpotent for b ∈ R - YouTube
![Nilpotent Ideal | Nil Ideal - Definition - Homomorphism/Isomorphism - Ring Theory - Lesson 55 - YouTube Nilpotent Ideal | Nil Ideal - Definition - Homomorphism/Isomorphism - Ring Theory - Lesson 55 - YouTube](https://i.ytimg.com/vi/b1MhuhdnBSg/mqdefault.jpg)