amalgamation property
A class of -structures has the amalgamation property if and only if whenever and are elementary embeddings for then there is some and some elementary embeddings for so that for all . That is, the following diagram commutes.
Compare this with the free product with amalgamated subgroup for groups and the definition of pushout there.
Title | amalgamation property |
---|---|
Canonical name | AmalgamationProperty |
Date of creation | 2013-03-22 13:25:01 |
Last modified on | 2013-03-22 13:25:01 |
Owner | Mathprof (13753) |
Last modified by | Mathprof (13753) |
Numerical id | 8 |
Author | Mathprof (13753) |
Entry type | Definition |
Classification | msc 03C52 |
Related topic | FreeProductWithAmalgamatedSubgroup |
Related topic | Confluence |
Related topic | JointEmbeddingProperty |
Defines | amalgamation property |