##  [Reducedness](/reducedness) 

  ##  [Reducedness](https://algebra.quantumdictionary.io/reducedness-0) 

  

 [![Algebra](/sites/default/files/styles/large/public/2026-01/Algebra.png.webp?itok=3pHxBnUF)](/topic-specific-dictionaries/pure-mathematics/algebra)

- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The property of a ring R (or scheme) having no nonzero nilpotent elements; equivalently the nilradical of R is zero.