This PhD-thesis consists of the five papers - On the Hochschild (co)homology of quantum exterior algebras, to appear in Comm. Algebra, -Complexity and periodicity, Coll. Math. 104 (2006), no. 2, 169-191, -Twisted support varieties, -Modules with reducible complexity, to appear in J. Algebra, - On support varieties for modules over complete intersections, to appear in Proc. Amer. Math. Soc. These papers are roughly divided into two groups; the ¯rst three study modules over Artin algebras using techniques from Hochschild cohomology, whereas the last two papers study modules over commutative Noetherian local rings, in particular modules over complete intersections.
| Identifer | oai:union.ndltd.org:UPSALLA1/oai:DiVA.org:ntnu-1491 |
| Date | January 2006 |
| Creators | Bergh, Petter Andreas |
| Publisher | Norges teknisk-naturvitenskapelige universitet, Fakultet for informasjonsteknologi, matematikk og elektroteknikk, Fakultet for informasjonsteknologi, matematikk og elektroteknikk |
| Source Sets | DiVA Archive at Upsalla University |
| Language | English |
| Detected Language | English |
| Type | Doctoral thesis, comprehensive summary, info:eu-repo/semantics/doctoralThesis, text |
| Format | application/pdf |
| Rights | info:eu-repo/semantics/openAccess |
| Relation | Doktoravhandlinger ved NTNU, 1503-8181 ; 2006:234 |
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