Statements (23)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:algebra
gptkb:group_of_people |
gptkbp:consistsOf |
equivalence classes of central simple algebras over the field
|
gptkbp:definedIn |
gptkb:Field
|
https://www.w3.org/2000/01/rdf-schema#label |
Brauer group of a field
|
gptkbp:identityElement |
class of matrix algebras over the field
opposite algebra |
gptkbp:isFinite |
finite fields
|
gptkbp:isNonAbelian |
true
|
gptkbp:namedAfter |
gptkb:Richard_Brauer
|
gptkbp:notation |
Br(K)
|
gptkbp:operator |
tensor product of algebras
|
gptkbp:relatedTo |
gptkb:Azumaya_algebras
gptkb:Galois_cohomology gptkb:cohomological_Brauer_group division algebras |
gptkbp:studiedIn |
gptkb:algebra
|
gptkbp:trivialFor |
algebraically closed fields
|
gptkbp:usedIn |
gptkb:algebraic_geometry
number theory class field theory |
gptkbp:bfsParent |
gptkb:Krull–Azumaya_theorem
|
gptkbp:bfsLayer |
6
|