Freyd–Mitchell embedding theorem
GPTKB entity
Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
abelian categories
|
| gptkbp:author |
gptkb:Peter_Freyd
gptkb:Barry_Mitchell |
| gptkbp:field |
gptkb:category_theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Freyd–Mitchell embedding theorem
|
| gptkbp:implies |
abelian categories behave like module categories
|
| gptkbp:namedAfter |
gptkb:Peter_Freyd
gptkb:Barry_Mitchell |
| gptkbp:publishedIn |
gptkb:Transactions_of_the_American_Mathematical_Society
|
| gptkbp:state |
Every small abelian category can be fully and exactly embedded into the category of modules over a ring
|
| gptkbp:yearProved |
1964
|
| gptkbp:bfsParent |
gptkb:Peter_Freyd
|
| gptkbp:bfsLayer |
6
|