##  [Nonreduced Fiber](/nonreduced-fiber) 

  ##  [Nonreduced Fiber](https://algebra.quantumdictionary.io/nonreduced-fiber-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 fiber of a morphism of schemes (or a member of a family) whose local rings are not reduced, i.e., they contain nonzero nilpotent elements. The underlying topological space may coincide with a reduced fiber while scheme-theoretically the fiber has multiplicity or embedded nilpotent structure.