Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:King
|
| gptkbp:alsoKnownAs |
gptkb:regular_ring
|
| gptkbp:application |
gptkb:algebraic_geometry
functional analysis module theory |
| gptkbp:defines |
A ring R such that for every a in R, there exists x in R with a = axa
|
| gptkbp:example |
the product of fields
the ring of n x n matrices over a division ring any Boolean ring |
| https://www.w3.org/2000/01/rdf-schema#label |
von Neumann regular ring
|
| gptkbp:introducedIn |
1936
|
| gptkbp:namedAfter |
gptkb:John_von_Neumann
|
| gptkbp:property |
every principal left ideal is generated by an idempotent
every module over a von Neumann regular ring is flat every element is von Neumann regular every finitely generated left ideal is generated by an idempotent |
| gptkbp:relatedTo |
gptkb:Baer_ring
idempotent element unit regular ring |
| gptkbp:subclassOf |
semisimple ring
reduced ring |
| gptkbp:bfsParent |
gptkb:Boolean_ring
|
| gptkbp:bfsLayer |
5
|