Blar i Fakultet for informasjonsteknologi og elektroteknikk (IE) på tidsskrift "Journal of Algebra"
Viser treff 1-9 av 9
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d-abelian quotients of (d+2)-angulated categories
(Journal article; Peer reviewed, 2019)Let T be a triangulated category. If t is a cluster tilting object and I=add t is the ideal of morphisms factoring through an object of add t, then the quotient category T/I is abelian. This is an important result of cluster ... -
Existence of a 2-cluster tilting module does not imply finite complexity.
(Journal article, 2022)We give an example of a finite-dimensional algebra with a 2-cluster tilting module and a simple module which has infinite complexity. This answers a question of Erdmann and Holm. -
Maximal τ_d-rigid pairs
(Journal article; Peer reviewed, 2020)Let C be a 2-Calabi–Yau triangulated category, T a cluster tilting object with endomorphism algebra Γ. Consider the functor C(T,-): C -> mod Γ. It induces a bijection from the isomorphism classes of cluster tilting objects ... -
Minimal semi-flat-cotorsion replacements and cosupport
(Journal article; Peer reviewed, 2020)Over a commutative noetherian ring Rof finite Krull dimension, we show that every complex of flat cotorsion R-modules decomposes as a direct sum of a minimal complex and a contractible complex. Moreover, we define the ... -
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 ... -
A refinement of Gorenstein flat dimension via the flat--cotorsion theory
(Peer reviewed; Journal article, 2021)We introduce a refinement of the Gorenstein flat dimension for complexes over an associative ring—the Gorenstein flat-cotorsion dimension—and prove that it, unlike the Gorenstein flat dimension, behaves as one expects of ... -
Tau-exceptional sequences
(Journal article; Peer reviewed, 2021)We introduce the notions of τ-exceptional and signed τ-exceptional sequences for any finite dimensional algebra. We prove that for a fixed algebra of rank n, and for any positive integer , there is a bijection between ... -
The third Milgram--Priddy class lifts
(Peer reviewed; Journal article, 2020)Abstract: We show that the third cohomology of the finite general linear group with trivial mod 2 coefficients is non-zero. The necessarily unique non-trivial element restricts to the third Milgram–Priddy class.