##  [Pseudovariety](/pseudovariety) 

  ##  [Pseudovariety](https://puremath.quantumdictionary.io/pseudovariety-0) 

  

 [![Pure Mathematics Dictionary](/sites/default/files/styles/large/public/2026-01/Pure%20Mathematics.png.webp?itok=5pZnFQ59)](/topic-specific-dictionaries/mathematics-logic/pure-mathematics)

- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A class of finite algebras closed under taking finite direct products, subalgebras, and homomorphic images; usually considered within a fixed finite-signature algebraic context and relevant to finite-model and automata applications.

 

 

 

 

 





 

 



 ##  [Pseudovariety](https://algebra.quantumdictionary.io/pseudovariety-1) 

  

 [![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 class of finite algebras (for a fixed signature) closed under finite direct products, subalgebras, and homomorphic images; typically studied in the context of finite algebraic structures where infinitary closure properties are not appropriate.