Morita equivalence

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo modules
rings
gptkbp:characterizedBy existence of a progenerator module
gptkbp:describes when two rings have equivalent module categories
gptkbp:field gptkb:algebra
gptkb:category_theory
https://www.w3.org/2000/01/rdf-schema#label Morita equivalence
gptkbp:implies the rings have equivalent representation theory
gptkbp:introducedIn 1958
gptkbp:namedAfter gptkb:Kiiti_Morita
gptkbp:relatedTo gptkb:Azumaya_algebras
equivalence of categories
tilting theory
gptkbp:usedIn noncommutative geometry
representation theory
operator algebras
gptkbp:bfsParent gptkb:noncommutative_geometry
gptkbp:bfsLayer 5