Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebra
semigroup |
| gptkbp:citation |
Rees, D. (1940), On semi-groups, Proceedings of the Cambridge Philosophical Society
|
| gptkbp:component |
index set I
index set Λ matrix P semigroup S |
| gptkbp:containsElement |
triple (i, s, λ)
|
| gptkbp:definedIn |
triple (S, I, Λ, P)
|
| gptkbp:field |
gptkb:algebra
semigroup theory |
| gptkbp:generalizes |
gptkb:Brandt_semigroup
|
| gptkbp:hasSpecialCase |
Rees 0-matrix semigroup
|
| https://www.w3.org/2000/01/rdf-schema#label |
Rees matrix semigroup
|
| gptkbp:introducedIn |
1940
|
| gptkbp:multiplicationRule |
(i, s, λ) * (j, t, μ) = (i, s P_{λj} t, μ)
|
| gptkbp:namedAfter |
gptkb:David_Rees
|
| gptkbp:relatedTo |
gptkb:Green's_relations
|
| gptkbp:usedFor |
classification of simple semigroups
|
| gptkbp:bfsParent |
gptkb:David_P._Rees
|
| gptkbp:bfsLayer |
7
|