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Computing Almost Split Sequences: An algorithm for computing almost split sequences of finitely generated modules over a finite dimensional algebra
Norwegian University of Science and Technology, Faculty of Information Technology, Mathematics and Electrical Engineering, Department of Mathematical Sciences.
2012 (English)MasteroppgaveStudent thesis
Abstract [en]

An artin algebra $l$ over a commutative, local, artinian ring $R$ was fixed, and with this foundation some topics from representation theory were discussed. A series of functors of module categories were defined, and almost split sequences were introduced with some basic results. An isomorphism $omega_{delta,X} : D delta^* rightarrow delta_*(DTr(X))$ of $Gamma$-modules for an artin $R$-algebra $Gamma$ was constructed. The isomorphism $omega_{delta,X}$ was applied to a special case, yielding a deterministic algorithm for computing almost split sequences in the case that $R$ is a field.

Place, publisher, year, edition, pages
Institutt for matematiske fag , 2012. , 122 p.
Keyword [no]
ntnudaim:8310, MTFYMA fysikk og matematikk, Industriell matematikk
URN: urn:nbn:no:ntnu:diva-19355Local ID: ntnudaim:8310OAI: diva2:566983
Available from: 2012-11-11 Created: 2012-11-10 Last updated: 2013-06-12Bibliographically approved

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