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Statements

Subject Item
dbr:André–Quillen_cohomology
rdf:type
dbo:Work
rdfs:label
André–Quillenkohomologi André–Quillen cohomology
rdfs:comment
Inom kommutativ algebra är André–Quillenkohomologi en kohomologiteori för kommutativa ringar som är nära relaterad till . De första tre kohomologigrupperna introducerades av ) och kallas ibland Lichtenbaum–Schlessinger-funktorerna T0, T1, T2, och de högre grupperna definierades oberoende av och genom att använda . En parallell homologiteori är André–Quillenhomologi. In commutative algebra, André–Quillen cohomology is a theory of cohomology for commutative rings which is closely related to the cotangent complex. The first three cohomology groups were introduced by Stephen Lichtenbaum and Michael Schlessinger and are sometimes called Lichtenbaum–Schlessinger functors T0, T1, T2, and the higher groups were defined independently by Michel André and Daniel Quillen using methods of homotopy theory. It comes with a parallel homology theory called André–Quillen homology.
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dbc:Homotopy_theory dbc:Cohomology_theories dbc:Commutative_algebra
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23974317
dbo:wikiPageRevisionID
1010536765
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dbr:Cambridge_University_Press dbc:Cohomology_theories dbr:Cohomology dbr:Exalcomm dbc:Homotopy_theory dbr:Commutative_ring dbr:Commutative_algebra dbr:Derivation_(abstract_algebra) n16:0407209 dbr:Exact_sequence dbr:American_Mathematical_Society dbr:Transactions_of_the_American_Mathematical_Society dbc:Commutative_algebra dbr:Deformation_Theory dbr:Cotangent_complex dbr:Springer-Verlag dbr:Homotopy_theory
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dbt:Harvs dbt:Citation
dbp:authorlink
Michel André Daniel Quillen
dbp:first
Michael Daniel Michel Stephen
dbp:last
Quillen Schlessinger André Lichtenbaum
dbp:year
1970 1974 1967
dbo:abstract
Inom kommutativ algebra är André–Quillenkohomologi en kohomologiteori för kommutativa ringar som är nära relaterad till . De första tre kohomologigrupperna introducerades av ) och kallas ibland Lichtenbaum–Schlessinger-funktorerna T0, T1, T2, och de högre grupperna definierades oberoende av och genom att använda . En parallell homologiteori är André–Quillenhomologi. In commutative algebra, André–Quillen cohomology is a theory of cohomology for commutative rings which is closely related to the cotangent complex. The first three cohomology groups were introduced by Stephen Lichtenbaum and Michael Schlessinger and are sometimes called Lichtenbaum–Schlessinger functors T0, T1, T2, and the higher groups were defined independently by Michel André and Daniel Quillen using methods of homotopy theory. It comes with a parallel homology theory called André–Quillen homology.
dbp:author1Link
Stephen Lichtenbaum
dbp:author2Link
Michael Schlessinger
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