Blar i NTNU Open på forfatter "Haugland, Johanne"
-
An introduction to triangulated categories via the stable category of a Frobenius category
Mathisen, Johan Vik (Bachelor thesis, 2020)Målet med denne oppgaven er å bevise at den stabile kategorien til en Frobeniuskategori er triangulert. Oppgaven er delt i to deler. Del en er en introduksjon til triangulerte kategorier, med fokus på intuisjon og motivasjon. ... -
Auslander–Reiten Triangles and Grothendieck Groups of Triangulated Categories
Haugland, Johanne (Peer reviewed; Journal article, 2021)We prove that if the Auslander–Reiten triangles generate the relations for the Grothendieck group of a Hom-finite Krull–Schmidt triangulated category with a (co)generator, then the category has only finitely many isomorphism ... -
The category of extensions and a characterisation of n-exangulated functors
Bennett-Tennenhaus, Raphael; Haugland, Johanne; Sandøy, Mads Hustad; Shah, Amit (Peer reviewed; Journal article, 2023)Additive categories play a fundamental role in mathematics and related disciplines. Given an additive category equipped with a biadditive functor, one can construct its category of extensions, which encodes important ... -
Classifying Subcategories of Triangulated Categories
Haugland, Johanne (Master thesis, 2018)The topic of this thesis is classification of subcategories of triangulated categories. We first state and prove the Hopkins-Neeman theorem, which gives a bijection between thick subcategories of the derived category of ... -
The Grothendieck Group of an n-exangulated Category
Haugland, Johanne (Peer reviewed; Journal article, 2021)We define the Grothendieck group of an n-exangulated category. For n odd, we show that this group shares many properties with the Grothendieck group of an exact or a triangulated category. In particular, we classify dense ... -
The role of gentle algebras in higher homological algebra
Haugland, Johanne; Jacobsen, Karin M.; Schroll, Sibylle (Peer reviewed; Journal article, 2022)We investigate the role of gentle algebras in higher homological algebra. In the first part of the paper, we show that if the module category of a gentle algebra Λ contains a d-cluster tilting subcategory for some d≥2 , ... -
Subcategory structures, Grothendieck groups and higher homological algebra
Haugland, Johanne (Doctoral theses at NTNU;2023:113, Doctoral thesis, 2023)