Blar i Fakultet for informasjonsteknologi og elektroteknikk (IE) på tidsskrift "Journal of Algebra and its Applications"

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    • Hochschild cohomology of some quantum complete intersections 

      Erdmann, Karin; Hellstrøm-Finnsen, Magnus (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 

      Bergh, Petter Andreas; Thompson, Peder (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 

      Bergh, Petter Andreas; Jorgensen, David Alan (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 ...