Blar i NTNU Open på forfatter "Thompson, Peder"
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Asymptotic behavior of Ext for pairs of modules of large complexity over graded complete intersections
Jorgensen, David A.; Şega, Liana M.; Thompson, Peder (Journal article; Peer reviewed, 2022) -
Detecting Koszulness and related homological properties from the algebra structure of Koszul homology
Croll, Amanda; Dellaca, Roger; Gupta, Anjan; Hoffmeier, Justin; Rangel Tracy, Denise; Sega, Liana; Sosa, Gabriel; Thompson, Peder (Journal article; Peer reviewed, 2018)Let k be a field and R a standard graded k-algebra. We denote by HR the homology algebra of the Koszul complex on a minimal set of generators of the irrelevant ideal of R. We discuss the relationship between the multiplicative ... -
Gorenstein weak global dimension is symmetric
Christensen, Lars Winther; Estrada, Sergio; Thompson, Peder (Peer reviewed; Journal article, 2021)We study the Gorenstein weak global dimension of associative rings and its relation to the Gorenstein global dimension. In particular, we prove the conjecture that the Gorenstein weak global dimension is a left-right ... -
Homotopy categories of totally acyclic complexes with applications to the flat-cotorsion theory
Christensen, Lars Winther; Estrada, Sergio; Thompson, Peder (Peer reviewed; Journal article, 2019)We introduce a notion of total acyclicity associated to a subcategory of an abelian category and consider the Gorenstein objects they define. These Gorenstein objects form a Frobenius category, whose induced stable category ... -
Introduction to Commutative Ring Theory, from Localization to Complete Intersections
Sivertsen, Andreas Palm (Bachelor thesis, 2020)This thesis will be an introduction to commutative ring theory, with an end goal of introducing complete intersection rings and reviewing some results about them. It will be written with the assumption that the reader 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 ... -
Minimal complexes of cotorsion flat modules
Thompson, Peder (Journal article; Peer reviewed, 2019)Let R be a commutative noetherian ring. We give criteria for a complex of cotorsion flat R-modules to be minimal, in the sense that every self homotopy equivalence is an isomorphism. To do this, we exploit Enochs' description ... -
Minimal semi-flat-cotorsion replacements and cosupport
Nakamura, Tsutomu; Thompson, Peder (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 ... -
Pure-minimal chain complexes
Christensen, Lars Winther; Thompson, Peder (Journal article; Peer reviewed, 2019)We introduce a notion of pure-minimality for chain complexes of modules and show that it coincides with (homotopic) minimality in standard settings, while being a more useful notion for complexes of flat modules. As ... -
Reducibility of parameter ideals in low powers of the maximal ideal
Shultis, Katharine; Thompson, Peder (Peer reviewed; Journal article, 2021)A commutative noetherian local ring (R, m) is Gorenstein if and only if every parameter ideal of R is irreducible. Although irreducible parameter ideals may exist in non-Gorenstein rings, Marley, Rogers, and Sakurai show ... -
A refinement of Gorenstein flat dimension via the flat--cotorsion theory
Christensen, Lars Winther; Estrada, Sergio; Liang, Li; Thompson, Peder; Wu, Dejun; Yang, Gang (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 ... -
The stable category of Gorenstein flat sheaves on a noetherian scheme
Christensen, Lars Winther; Estrada, Sergio; Thompson, Peder (Journal article; Peer reviewed, 2021)