Publications

Preprints, journal articles, book chapters, books, software, and related scholarly materials by Lars Winther Christensen.

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Journal Articles

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  1. Lars Winther Christensen, Sergio Estrada, and Peder Thompson, Acyclic complexes and regular rings, Mediterr. J. Math. 23 (2026), article number 57, 14 pp.
    Preprint
  2. Lars Winther Christensen, Orin Gotchey, and Alexis Hardesty, Sampling algebra structures on minimal free resolutions of length 3, Exp. Math. 34 (2025), 754–771.
    Preprint · MR 4905032 · Zbl 08128769
  3. Lars Winther Christensen and Luigi Ferraro, The Improved New Intersection Theorem revisited, Michigan Math. J. 75 (2025), 267–274.
    Preprint · MR 4905032 · Zbl 1567.13016
  4. Lars Winther Christensen, Sergio Estrada, Li Liang, Peder Thompson, and Junpeng Wang, One-sided Gorenstein rings, Forum Math. 36 (2024), 1411–1433.
    Preprint · MR 4790806 · Zbl 1564.16005
  5. Lars Winther Christensen, Luigi Ferraro, and Peder Thompson, Rigidity of Ext and Tor via flat–cotorsion theory, Proc. Edinb. Math. Soc. 66 (2023), 1142–1153.
    Preprint · MR 4679218 · Zbl 1532.13018
  6. Lars Winther Christensen and Oana Veliche, Generic local rings on a spectrum between Golod and Gorenstein, Adv. Appl. Math. 151 (2023), paper no. 102580, 55 pp.
    Preprint · MR 4616997 · Zbl 1540.13019
  7. Lars Winther Christensen, Nanqing Ding, Sergio Estrada, Jiangsheng Hu, Huanhuan Li, and Peder Thompson, The singularity category of an exact category applied to characterize Gorenstein schemes, Quart. J. Math. 74 (2023), 1–27.
    Preprint · MR 4571621 · Zbl 1515.14029
  8. Lars Winther Christensen, Sergio Estrada, and Peder Thompson, Gorenstein weak global dimension is symmetric, Math. Nachr. 294 (2021), 2121–2128.
    Preprint · MR 4371287 · Zbl 1537.16008
  9. Lars Winther Christensen, Sergio Estrada, and Peder Thompson, The stable category of Gorenstein flat sheaves on a noetherian scheme, Proc. Amer. Math. Soc. 149 (2021), 525–538.
    Preprint · MR 4198062 · Zbl 1457.14036
  10. Lars Winther Christensen, Sergio Estrada, Li Liang, Peder Thompson, Dejun Wu, and Yang Gang, A refinement of Gorenstein flat dimension via the flat–cotorsion theory, J. Algebra 567 (2021), 346–370.
    Preprint · MR 4159258 · Zbl 1478.16004
  11. Lars Winther Christensen, Oana Veliche, and Jerzy Weyman, Minors of a skew symmetric matrix: a combinatorial approach, Electron. J. Linear Algebra 36 (2020), 658–663.
    Preprint · MR 4165809 · Zbl 1452.15002
  12. Lars Winther Christensen, Oana Veliche, and Jerzy Weyman, Linkage classes of grade 3 perfect ideals, J. Pure Appl. Algebra 224 (2020), paper no. 106185, 29 pp.
    Preprint · MR 4048506 · Zbl 1440.13056
  13. Lars Winther Christensen, Oana Veliche, and Jerzy Weyman, Trimming a Gorenstein ideal, J. Commut. Algebra 11 (2019), 325–339.
    Preprint · MR 4038053 · Zbl 1441.13059
  14. Lars Winther Christensen and Peder Thompson, Pure-minimal chain complexes, Rend. Semin. Mat. Univ. Padova 142 (2019), 41–67.
    Preprint · MR 4032803 · Zbl 1454.16001
  15. Lars Winther Christensen, Oana Veliche, and Jerzy Weyman, Free resolutions of Dynkin format and the licci property of grade 3 perfect ideals, Math. Scand. 125 (2019), 163–178.
    Preprint · MR 4031044 · Zbl 1451.13044
  16. Lars Winther Christensen and Dejun Wu, A Bass equality for Gorenstein injective dimension of modules finite over homomorphisms, Arch. Math. (Basel) 113 (2019), 459–467.
    Preprint · MR 4016630 · Zbl 1430.13019
  17. Lars Winther Christensen, Srikanth B. Iyengar, and Thomas Marley, Rigidity of Ext and Tor with coefficients in residue fields of a commutative noetherian ring, Proc. Edinb. Math. Soc. 62 (2019), 305–321.
    Preprint · MR 3935802 · Zbl 1412.13020
  18. Lars Winther Christensen and Oana Veliche, The Golod property of powers of the maximal ideal of a local ring, Arch. Math. (Basel) 110 (2018), 549–562.
    Preprint · MR 3803744 · Zbl 1393.13043
  19. Lars Winther Christensen and Kiriko Kato, Totally acyclic complexes and locally Gorenstein rings, J. Algebra Appl. 17 (2018), paper no. 1850039, 6 pp.
    Preprint · MR 3760008 · Zbl 1390.13042
  20. Olgur Celikbas, Lars Winther Christensen, Li Liang, and Greg Piepmeyer, Complete homology over associative rings, Israel J. Math. 221 (2017), 1–24.
    Preprint · MR 3705846 · Zbl 1428.16007
  21. Olgur Celikbas, Lars Winther Christensen, Li Liang, and Greg Piepmeyer, Stable homology over associative rings, Trans. Amer. Math. Soc. 369 (2017), 8061–8086.
    Preprint · MR 3695854 · Zbl 1397.16007
  22. Lars Winther Christensen and Srikanth B. Iyengar, Tests for injectivity of modules over commutative rings, Collect. Math. 68 (2017), 243–250.
    Preprint · MR 3633060 · Zbl 1372.13007
  23. Lars Winther Christensen, Sergio Estrada, and Alina Iacob, A Zariski-local notion of F-total acyclicity for complexes of sheaves, Quaest. Math. 40 (2017), 197–214.
    Preprint · MR 3630500 · Zbl 1423.18047
  24. Lars Winther Christensen, Fatih Köksal, and Li Liang, Gorenstein dimensions of unbounded complexes and change of base (With an appendix by Driss Bennis), Sci. China Math. 60 (2017), 401–420.
    Preprint · MR 3600932 · Zbl 1381.13006
  25. Lars Winther Christensen and Fatih Köksal, Injective modules under faithfully flat ring extensions, Proc. Amer. Math. Soc. 144 (2016), 1015–1020.
    Preprint · MR 3447655 · Zbl 1361.13006
  26. Jesse Burke, Lars Winther Christensen, and Ryo Takahashi, Building modules from the singular locus, Math. Scand. 116 (2015), 23–33.
    Preprint · MR 32322605 · Zbl 1310.13019
  27. Lars Winther Christensen and David A. Jorgensen, Vanishing of Tate homology and depth formulas over local rings, J. Pure Appl. Algebra 219 (2015), 464–481.
    Preprint · MR 3279366 · Zbl 1311.13016
  28. Lars Winther Christensen and Henrik Holm, The direct limit closure of perfect complexes, J. Pure Appl. Algebra 219 (2015), 449–463.
    Preprint · MR 3279365 · Zbl 1357.16015
  29. Lars Winther Christensen and Oana Veliche, Local rings of embedding codepth 3: A classification algorithm, J. Softw. Algebra Geom. 6 (2014), 1–8.
    Preprint · MR 3338667 · Zbl 1401.13081 · Accompanying Macaulay2 package CodepthThree
  30. Lars Winther Christensen and Oana Veliche, Local rings of embedding codepth 3. Examples, Algebr. Represent. Theory 17 (2014), 121–135.
    Preprint · MR 3160716 · Zbl 1295.13019
  31. Lars Winther Christensen and David A. Jorgensen, Tate (co)homology via pinched complexes, Trans. Amer. Math. Soc. 366 (2014), 667–689.
    Preprint · MR 3130313 · Zbl 1326.18008
  32. Lars Winther Christensen and Henrik Holm, Vanishing of cohomology over Cohen–Macaulay rings, Manuscripta Math. 139 (2012), 535–544.
    Preprint · MR 2974289 · Zbl 1255.13009
  33. Lars Winther Christensen, David A. Jorgensen, Hamidreza Rahmati, Janet Striuli, and Roger Wiegand, Brauer–Thrall for totally reflexive modules, J. Algebra 350 (2012), 340–373.
    Preprint · MR 2859892 · Zbl 1274.13026
  34. Lars Winther Christensen and Henrik Holm, Algebras that satisfy Auslander's condition on vanishing of cohomology, Math. Z. 265 (2010), 21–40.
    Preprint · Erratum · MR 2606948 · Zbl 1252.16008
  35. Lars Winther Christensen and Sean Sather-Wagstaff, Transfer of Gorenstein dimensions along ring homomorphisms, J. Pure Appl. Algebra 214 (2010), 982–989.
    Preprint · MR 2580673 · Zbl 1186.13010
  36. Lars Winther Christensen, Janet Striuli, and Oana Veliche, Growth in the minimal injective resolution of a local ring, J. Lond. Math. Soc. 81 (2010), 24–44.
    Preprint · MR 2580452 · Zbl 1190.13018
  37. Lars Winther Christensen and Sean Sather-Wagstaff, Descent via Koszul extensions, J. Algebra 322 (2009), 3026–3046.
    Preprint · MR 2567408 · Zbl 1186.13024
  38. Lars Winther Christensen and Henrik Holm, Ascent properties of Auslander categories, Canad. J. Math. 61 (2009), 76–108.
    Preprint · MR 2488450 · Zbl 1173.13016
  39. Lars Winther Christensen and Sean Sather-Wagstaff, A Cohen–Macaulay algebra has only finitely many semidualizing modules, Math. Proc. Cambridge Philos. Soc. 145 (2008), 601–603.
    Preprint · MR 2464778 · Zbl 1153.13020
  40. Lars Winther Christensen, Greg Piepmeyer, Janet Striuli, and Ryo Takahashi, Finite Gorenstein representation type implies simple singularity, Adv. Math. 218 (2008), 1012–1026.
    Preprint · MR 2419377 · Zbl 1148.14004
  41. Lars Winther Christensen and Oana Veliche, A test complex for Gorensteinness, Proc. Amer. Math. Soc. 136 (2008), 479–487.
    Preprint · MR 2358487 · Zbl 1131.13021
  42. Lars Winther Christensen and Oana Veliche, Acyclicity over local rings with radical cube zero, Illinois J. Math. 54 (2007), 1439–1454.
    Preprint · MR 2417436 · Zbl 1148.13004
  43. Lars Winther Christensen and Srikanth Iyengar, Gorenstein dimension of modules over homomorphisms, J. Pure Appl. Algebra 208 (2007), 177–188.
    Preprint · MR 2269838 · Zbl 1105.13014
  44. Lars Winther Christensen, Anders Frankild, and Henrik Holm, On Gorenstein projective, injective and flat dimensions—A functorial description with applications, J. Algebra 302 (2006), 231–279.
    Preprint · MR 2236602 · Zbl 1104.13008
  45. Lars Winther Christensen, Sequences for complexes II, Math. Scand. 91 (2002), 161–174.
    Preprint · MR 1931568 · Zbl 1021.13015
  46. Lars Winther Christensen, Hans-Bjørn Foxby, and Anders Frankild, Restricted homological dimensions and Cohen–Macaulayness, J. Algebra 251 (2002), 479–502.
    Preprint · MR 1900297 · Zbl 1073.13501
  47. Lars Winther Christensen, Sequences for complexes, Math. Scand. 89 (2001), 161–180.
    Preprint · MR 1868172 · Zbl 1021.13014
  48. Lars Winther Christensen, Semi-dualizing complexes and their Auslander categories, Trans. Amer. Math. Soc. 353 (2001), 1839–1883.
    Preprint · MR 1813596 · Zbl 0969.13006

Book Chapters

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Books

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Software

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Varia

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