##  [Nonreduced Scheme](/nonreduced-scheme) 

  ##  [Nonreduced Scheme](https://algebra.quantumdictionary.io/nonreduced-scheme-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

A scheme whose structure sheaf contains nonzero nilpotent sections, equivalently a scheme with local rings that are not reduced; geometric points may have embedded infinitesimal structure beyond the underlying topological space.