central simple algebra

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:algebra
gptkbp:defines an associative algebra that is simple and has center equal to the base field
gptkbp:dimensions finite over base field
gptkbp:example gptkb:matrix_algebra_over_a_field
quaternion algebra
gptkbp:field abstract algebra
gptkbp:hasProperty simple algebra
associative
finite-dimensional
center is a field
https://www.w3.org/2000/01/rdf-schema#label central simple algebra
gptkbp:relatedTo gptkb:division
gptkb:Brauer_group
gptkbp:studiedIn gptkb:algebraic_geometry
ring theory
gptkbp:bfsParent gptkb:Krull–Azumaya_theorem
gptkb:Azumaya_algebra
gptkbp:bfsLayer 6