![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
![Nilpotent Orbits, Primitive Ideals, and Characteristic Classes: A Geometric Perspective in Ring Theory (Progress in Mathematics, 78): Borho, Walter, Brylinski, J.-L., MacPherson, R.: 9780817634735: Amazon.com: Books Nilpotent Orbits, Primitive Ideals, and Characteristic Classes: A Geometric Perspective in Ring Theory (Progress in Mathematics, 78): Borho, Walter, Brylinski, J.-L., MacPherson, R.: 9780817634735: Amazon.com: Books](https://m.media-amazon.com/images/I/610SJbMAW+L._AC_UF1000,1000_QL80_.jpg)
Nilpotent Orbits, Primitive Ideals, and Characteristic Classes: A Geometric Perspective in Ring Theory (Progress in Mathematics, 78): Borho, Walter, Brylinski, J.-L., MacPherson, R.: 9780817634735: Amazon.com: Books
![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/sddefault.jpg)