Now showing items 1-20 of 22

(Master thesis, 2016)
I denne oppgaven studerer vi Cartanmatriser, additive og subadditive funksjoner og translasjonsquivre. Spesielt vil vi se hvordan additive og subadditive funksjoner er definert både for Cartanmatriser og for translasjonsquivre, ...
• #### Analyse av varmegjenvinning og varmeutnyttelse i aluminiumsverk: Utnyttelse av spillvarme til forvarming av omsmeltemetall ﻿

(Master thesis, 2007)
Hensikten med oppgaven var å redegjøre for mulighetene til å benytte seg av spillvarme fra holdeovnene i støperiet til forvarming av omsmeltemetall som ett ledd i å ta bruk spillvarmen ved bedriften. I den sammenheng ble ...
• #### Auslander-Gorenstein algebras and precluster tilting ﻿

(Journal article; Peer reviewed, 2018)
We generalize the notions of n-cluster tilting subcategories and τselfinjective algebras into n-precluster tilting subcategories and τn-selfinjective algebras, where we show that a subcategory naturally associated to ...
• #### Auslander-Reiten components containing modules of finite complexity ﻿

(Master thesis, 2011)
Let R be a connected selfinjective Artin algebra. We prove that any almost split sequence ending at an Omega-perfect R-module of finite complexity has at most four non-projective summands in a chosen decomposition of the ...
• #### Compactly Generated Triangulated Categories and the Telescope Conjecture ﻿

(Doktoravhandlinger ved NTNU, 1503-8181; 2009:188, Doctoral thesis, 2009)
The thesis studies the telescope conjecture for algebraic compactly generated triangulated categories. The conjecture, which says that every smashing localization of a compactly generated triangulated category is generated ...
• #### Computing Almost Split Sequences: An algorithm for computing almost split sequences of finitely generated modules over a finite dimensional algebra ﻿

(Master thesis, 2012)
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 ...
• #### Computing tau-rigid modules ﻿

(Master thesis, 2021)
I denne masteroppgaven blir tau-vippeteori, som utviklet av Adachi, Iyama og Reiten i [AIR13], introdusert. Det blir så demonstrert hvordan teknikker fra [BST19] og kombinatoriske ideer kan anvendes i denne teorien. Vi ...
• #### Decomposition of Modules over finite-dimensional Algebras ﻿

(Master thesis, 2018)
We investigate algorithms for decomposing a module $M$ over a finite-dimensional path algebra $\Lambda$. The algorithms first have to construct the endomorphism ring $\End(M) = \Hom(M, M).$ \noindent Consequently, ...
• #### Finitistic Dimension Conjecture ﻿

(Master thesis, 2021)
I denne oppgaven oppsummerer vi arbeidet gjort på finitistisk dimensjonsformodning for endeligdimensjonale algebraer siden den først ble postulert i 1960. Vi fokuserer spesielt på å vise hvilke klasser av algebraer hvor ...
• #### Going relative with Maurice—a survey ﻿

(Journal article, 2018)
• #### Koszul Algebras and Linear Modules: An introduction to the theory of Koszul algebras and linear modules. ﻿

(Master thesis, 2010)
In this thesis Koszul algebras and their modules, so called linear modules, are introduced. In order to do so, graded $K$-algebras, where $K$ is a field, are also defined and discussed. Furthermore, an isomorphism between ...
• #### Koszul-algebraer over endelige kropper ﻿

(Master thesis, 2008)
Vi har i denne masteroppgaven sett på Koszul-algebraer. Vi har definert Koszul-algebraer som graderte algebraer hvor de simple modulene har en lineær gradert projektiv oppløsning, og vi har bevist forskjellige karakteriseringer ...
• #### Koszul-algebraer over endelige kropper ﻿

(Master thesis, 2008)
Masteroppgaven er innen algebra, nærmere bestemt Koszul-teori for algebraer. Koszul-algebraer, ble først definert av Priddy, har en sentral rolle innen algebra, geometri og topologi. Projektive moduler er viktige for å ...
• #### On support varieties and tensor products for finite dimensional algebras ﻿

(Peer reviewed; Journal article, 2020)
It has been asked whether there is a version of the tensor product property for support varieties over finite dimensional algebras defined in terms of Hochschild cohomology. We show that in general no such version can ...
• #### On the structure and cohomology ring of connected Hopf algebras ﻿

(Peer reviewed; Journal article, 2019)
Let p be a prime, and k be a field of characteristic p. We investigate the algebra structure and the structure of the cohomology ring for the connected Hopf algebras of dimension p3, which appear in the classification ...
• #### Path Algebras of Coverings and Twisted Tensor Products ﻿

(Master thesis, 2015)
The first part of the thesis introduces and discusses the twisted tensor product of two algebras. This is then used to show how the path algebra of a covering quiver relates to the quiver it is a covering of. In the end ...
• #### Post-Quantum Multivariate Cryptography - A Study of Gui and GeMSS Signature Schemes using Gröbner Bases ﻿

(Master thesis, 2018)
The main goal of this thesis is to analyze and compare the two signature schemes Gui and GeMSS, both submitted to the Post-Quantum Cryptography Standardization Process initiated by the National Institute of Standards and ...
• #### Quivers and admissible relations of tensor products and trivial extensions ﻿

(Master thesis, 2011)
We show how to find quotients of path algebras isomorphic to tensor products, triangular matrix algebras and trivial extensions.
• #### Support Varieties for Finite Dimensional Algebras ﻿

(Master thesis, 2016)
We give a presentation of the theory of support varieties for finite dimensional algebras A using the Hochschild cohomology ring. Our presentation is especially focused on the finite generation hypotheses an algebra must ...
• #### Support varieties—an axiomatic approach ﻿

(Journal article; Peer reviewed, 2019)
We provide an axiomatic approach for studying support varieties of objects in a triangulated category via the action of a tensor triangulated category, where the tensor product is not necessarily symmetric. This is illustrated ...