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Bounding The Hochschild Cohomological DimensionKratsios, Anastasis 08 1900 (has links)
Ce mémoire a deux objectifs principaux. Premièrement de développer et interpréter
les groupes de cohomologie de Hochschild de basse dimension et deuxièmement de
borner la dimension cohomologique des k-algèbres par dessous; montrant que presque
aucune k-algèbre commutative est quasi-libre. / The aim of this master’s thesis is two-fold. Firstly to develop and interpret the low
dimensional Hochschild cohomology of a k-algebra and secondly to establish a lower
bound for the Hochschild cohomological dimension of a k-algebra; showing that nearly
no commutative k-algebra is quasi-free.
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