Blar i Institutt for matematiske fag på tidsskrift "Journal of Algebra and its Applications"
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Hochschild cohomology of some quantum complete intersections
(Journal article; Peer reviewed, 2018)We compute the Hochschild cohomology ring of the algebras A = kX, Y /(Xa,XY − qY X, Y a) over a field k where a ≥ 2 and where q ∈ k is a primitive ath root of unity. We find the dimension of HHn(A) and show that it is ... -
Matrix factorizations for self-orthogonal categories of modules
(Peer reviewed; Journal article, 2020)For a commutative ring S and self-orthogonal subcategory C of Mod(S), we consider matrix factorizations whose modules belong to C. Let f∈S be a regular element. If f is M-regular for every M∈C, we show there is a natural ... -
Realizability and the Avrunin-Scott theorem for higher-order support varieties
(Journal article; Peer reviewed, 2018)We introduce higher-order support varieties for pairs of modules over a commutative local complete intersection ring and give a complete description of which varieties occur as such support varieties. In the context of a ...