The role of gentle algebras in higher homological algebra

Autor: Sibylle Schroll, Karin Marie Jacobsen, Johanne Haugland

Publikováno v: Haugland, J, Jacobsen, K M & Schroll, S 2022, ' The role of gentle algebras in higher homological algebra ', Forum Mathematicum, vol. 34, no. 5, pp. 1255-1275 . https://doi.org/10.1515/forum-2021-0311
Forum mathematicum

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 $\Lambda$ contains a $d$-cluster tilting subcategory for some $d \geq 2$, then $\Lambda$

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d68cf65debb573f2f5f3097f6e811e81
https://doi.org/10.1515/forum-2021-0311

Abelian quotients of triangulated categories

Autor: Benedikte Grimeland, Karin Marie Jacobsen

Publikováno v: Journal of Algebra. 439:110-133

We study abelian quotient categories A=T/J, where T is a triangulated category and J is an ideal of T. Under the assumption that the quotient functor is cohomological we show that it is representable and give an explicit description of the functor. W

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https://doi.org/10.1016/j.jalgebra.2015.04.042

$d$-abelian quotients of $(d+2)$-angulated categories

Autor: Peter Jørgensen, Karin Marie Jacobsen

Let ${\mathscr T}$ be a triangulated category. If $T$ is a cluster tilting object and $I = [ \operatorname{add} T ]$ is the ideal of morphisms factoring through an object of $\operatorname{add} T$, then the quotient category ${\mathscr T} / I$ is abe

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3f7a80f7c9eed33aab3c26d83cba9d24