André–Quillen cohomology

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf gptkb:cohomology_theory
gptkbp:appliesTo commutative rings
commutative algebras
gptkbp:category functor cohomology
gptkbp:citation gptkb:Quillen,_Daniel._"On_the_(co-)_homology_of_commutative_rings."_Proc._Symp._Pure_Math._17_(1970):_65–87.
André, Michel. "Homologie des algèbres commutatives." Springer, 1974.
gptkbp:computes derived functors of derivations
gptkbp:field gptkb:topology
homological algebra
gptkbp:generalizes gptkb:Hochschild_cohomology
https://www.w3.org/2000/01/rdf-schema#label André–Quillen cohomology
gptkbp:introducedIn 1970s
gptkbp:namedAfter gptkb:Daniel_Quillen
gptkb:Michel_André
gptkbp:relatedTo cotangent complex
gptkbp:usedFor obstruction theory
studying deformations of commutative rings
gptkbp:bfsParent gptkb:Hochschild_cohomology
gptkbp:bfsLayer 7