Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebra
ring (algebra) |
| gptkbp:citation |
C. E. Rickart, "General theory of Banach algebras," 1946
T. Y. Lam, "A First Course in Noncommutative Rings" |
| gptkbp:defines |
A ring in which the right annihilator of any single element is generated by an idempotent
|
| gptkbp:field |
gptkb:algebra
|
| gptkbp:generalizes |
gptkb:Baer_ring
|
| gptkbp:hasIdempotent |
yes
|
| https://www.w3.org/2000/01/rdf-schema#label |
Rickart ring
|
| gptkbp:introducedIn |
1946
|
| gptkbp:isNoncommutative |
can be noncommutative
|
| gptkbp:namedAfter |
Charles E. Rickart
|
| gptkbp:property |
right Rickart ring if right annihilator of any element is principal and generated by an idempotent
left Rickart ring if left annihilator of any element is principal and generated by an idempotent |
| gptkbp:relatedTo |
gptkb:Baer_ring
gptkb:von_Neumann_regular_ring |
| gptkbp:studiedIn |
ring theory
|
| gptkbp:bfsParent |
gptkb:Baer_ring
|
| gptkbp:bfsLayer |
7
|