List of publications

In print

  1. Solberg, Øyvind; Representasjonsteori for skjevgruppealgebraer, Master thesis, Universitetet i Trondheim, Den allmennvitenskapelige høgskolen, Institutt for matematikk og statistikk, 1984
  2. Solberg, Øyvind; Cohen-Macaulay modules and skew group rings, Ph.D.-thesis, Universitetet i Trondheim, Den allmennvitenskapelige høgskolen, Institutt for matematikk og statistikk, 1987
  3. Solberg, Øyvind; A graded ring of finite Cohen-Macaulay type, Comm. in Alg. (10) 16 (1988) 2121-2124.
  4. Solberg, Øyvind; Hopf algebra constructions and representation theory, Comm. in Alg. (7) 17 (1988) 1775-1786.
  5. Solberg, Øyvind; Strongly graded rings and almost split sequences, J. Algebra (126) 1 (1989) 176-183.
  6. Solberg, Øyvind; Hypersurface singularities of finite Cohen-Macaulay type, Proc. London Math. Soc. (3) 58 (1989) 258-280.
  7. Solberg, Øyvind; Grothendieck groups for hypersurface rings, Proc. Amer. Math. Soc. (104) 4 (1990) 943-950.
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  8. Auslander, Maurice; Ding, Songqing; Solberg, Øyvind; Liftings and weak liftings of modules, J. Algebra, 156 (1993) 273-317.
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  9. Ding, Songqing; Solberg, Øyvind; The Maranda Theorem and liftings of modules, Comm. in Alg., 21(4), 1161-1187 (1993).
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  10. Auslander, Maurice; Solberg, Øyvind; Relative homology and representation theory I, Relative homology and homologically finite subcategories, Comm. in Alg., 21(9), 2995-3031 (1993).
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  11. Auslander, Maurice; Solberg, Øyvind; Relative homology and representation theory II, Relative cotilting theory, Comm. in Alg., 21(9), 3033-3079 (1993)
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  12. Auslander, Maurice; Solberg, Øyvind; Relative homology and representation theory III, Cotilting modules and Wedderburn correspondence, Comm. in Alg., 21(9), 3081-3097.
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  13. Auslander, Maurice; Solberg, Øyvind; Gorenstein algebras and algebras with dominant dimension at least 2, Comm. in Alg., 21(11), 3897-3934.
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  14. Auslander, Maurice; Solberg, Øyvind; Relative homology, Finite-dimensional algebras and related topics (Ottawa, ON, 1992), 347--359, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 424, Kluwer Acad. Publ., Dordrecht, 1994.
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  15. Green, Edward L.; Marcos, Eduardo; Solberg, Øyvind; Representations and almost split sequences for Hopf Algebras, Representation theory of algebras, R. Bautista, R. Martinez-Villa, J. de la Pena, Editors, Cand. Math. Soc., Conference Proceedings, vol. 18, 237-245 (1996).
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  16. Michler, Gerhard; Solberg, Øyvind; The representation-finite symmetric algebras with liftable simple modules, Arch. Math., Vol. 66, 441-454 (1996).
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  17. Michler, Gerhard; Solberg, Øyvind; Testing modules of groups of even order for simplicity, J. Alg. 202, 229-242 (1998).
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  18. Buan, Aslak; Solberg, Øyvind; Relative cotilting theory and almost complete cotilting modules, Algebras and modules II, I. Reiten, S. O. Smalø, Ø. Solberg, Editors, Cand. Math. Soc., Conference Proceedings, vol. 24, 77-92 (1998)
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  19. Green, Edward L.; Martínez-Villa, Roberto; Reiten, Idun; Solberg, Øyvind; Zacharia, Dan; On modules with linear presentations, J. Alg., 205, 578-604 (1998).
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  20. Green, Edward L.; Solberg, Øyvind; Basic Hopf algebras and Quantum Groups, Math. Zeit., 229 (1998) 1, 45-76.
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  21. Dräxler, Peter; Reiten, Idun; Smalø, Sverre O.; Solberg, Øyvind; Exact categories and vector space categories, Trans. Amer. Math. Soc. 351 (1999), no. 2, 647--682.
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  22. Green, Edward L.; Solberg, Øyvind; Zacharia, Dan; Minimal projective resolutions, Trans. Amer. Math. Soc., 353 (2001), 2915-2939
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  23. Dräxler, Peter; Solberg, Øyvind; Exact factors of exact categories, Bol. Soc. Mat. Mexicana (3) Vol. 7 (2001), no. 1, 59-72
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  24. Buan, Aslak; Krause, Henning; Solberg, Øyvind; On the lattice of cotilting modules, AMA Algebra Montp. Announc. 2002, Paper 2
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  25. Green, Edward L.; Solberg, Øyvind; Hochschild cohomology rings and triangular rings, Proceedings of the Ninth International Conference, Beijing, 2000, eds. D. Happel and Y. B. Zhang, Beijing Normal University Press, vol. II, 2002, 192-200.
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  26. Green, Edward L.; Reiten, Idun; Solberg, Øyvind; Dualities on generalized Koszul algebras, Memoirs, Amer. Math. Soc., vol. 159, 2002, 67 pp., ISBN 0-8218-2934-3
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  27. Krause, Henning; Solberg, Øyvind; Filtering modules of finite projective dimension, Forum Math., 15 (2003), 377-393
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  28. Green, Edward L.; Snashall, Nicole; Solberg, Øyvind; The Hochschild cohomology ring of a selfinjective algebra of finite representation type, Proc. Amer. Math. Soc., 131 (2003), 3387-3393
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  29. Krause, Henning; Solberg, Øyvind; Applications of cotorsion pairs, J. London Math. Soc, vol. 68, no. 3 (2003), 631-650.
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  30. Snashall, Nicole; Solberg, Øyvind; Support varieties and Hochschild cohomology rings, Proc. London Math. Soc., vol. 88, no. 3 (2004), 705-732.
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  31. Erdmann, Karin; Holloway, Miles; Snashall, Nicole; Solberg, Øyvind; Taillefer, Rachel; Support varieties for selfinjective algebras, K-Theory, vol. 33, no. 1 (2004), 67-87
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  32. Buan, Aslak; Solberg, Øyvind; Limits of pure-injective cotilting modules, Algebras and Representation theory, vol. 8, no. 5 (2005), 621-634.
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  33. Green, Edward L.; Hartman, Gregory; Marcos, Eduardo; Solberg, Øyvind; Resolutions over Koszul algebras, Archiv der Mathematik, vol. 85 (2005), no. 2, 118-127.
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  34. Buchweitz, Ragnar; Green, Edward L.; Madsen, Dag; Solberg, Øyvind; Finite Hochschild cohomology without finite global dimension, Math. Res. Lett., 12 (2005) 805-816.
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  35. Green, Edward L.; Snashall, Nicole; Solberg, Øyvind; The Hochschild cohomology ring modulo nilpotence of a monomial algebra, J. Algebra and its applications, vol. 5 (2006), no. 2, 1-40.
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  36. Solberg, Øyvind; Support varieties for modules and complexes, Trends in Representation Theory of Algebras and Related Topics, Contemporary Math. Amer. Math. Soc., José A. de la Peña and Raymundo Bautista, Editors - AMS, 2006, 270 pp., Softcover, ISBN-10: 0-8218-3818-0, ISBN-13: 978-0-8218-3818-1.
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  37. Solberg, Øyvind; Infinite dimensional tilting modules over finite dimensional algebras, Handbook of Tilting, London Mathematical Society Lecture Note Series (No. 332), Cambridge Univ. Press, 2007. ISBN-13: 978-0-521-68045-5.
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  38. Buan, Aslak; Krause, Henning; Solberg, Øyvind; Support varieties - an ideal approach, Homology, Homotopy and Applications, vol. 9(1), 2007, 45-74
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  39. Green, Edward L.; Solberg, Øyvind; An algorithmic approach to resolutions, J. Symbolic Computation, vol. 42, no. 11-12 (2007), 1012-1033, special issue: Non-commutative Grobner bases.
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  40. Buchweitz, Ragnar; Green, Edward L.; Snashall, Nicole; Solberg, Øyvind; Multiplicative structures for Koszul algebras, Quart. J. Math. 59 (2008), 441–454.
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  41. Green, Edward L.; Snashall, Nicole; Solberg, Øyvind; Zacharia, Dan; Noetherianity and Ext, J. Pure Appl. Algebra 212 (2008), no. 7, 1612-1625
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  42. Solberg, Øyvind; Support varieties - an axiomatic approach, Abstracts from the mini-workshop held February 15–21, 2009. Organized by Karin Erdmann and Henning Krause. Oberwolfach Reports. Vol. 6, no. 1. Oberwolfach Rep. 6 (2009), no. 1, 584-586.
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  43. Martínez-Villa, Roberto; Solberg, Øyvind; Serre duality for Artin-Schelter regular K-categories, Int. J. Algebra 3 (2009), no. 5-8, 355-375
  44. Bergh, Petter Andreas; Solberg, Øyvind; Relative support varieties, Q. J. Math. 61 (2010), no. 2, 171-182
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  45. Martínez-Villa, Roberto; Solberg, Øyvind; Noetherianity and Gelfand-Kirillov dimension of components, J. Algebra 323 (2010) 1369-1407.
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  46. Martínez-Villa, Roberto; Solberg, Øyvind; Graded and Koszul categories, Applied Categorical Structures, vol. 18, no. 6 (2010), Page 615-652.
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  47. Erdmann, Karin; Solberg, Øyvind; Radical cube zero weakly symmetric algebras and support varieties, J. Pure and Applied Alg. 215 (2011) 185-200
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  48. Martínez-Villa, Roberto; Solberg, Øyvind; Artin-Schelter regular algebras and categories, J. Pure Appl. Algebra 215 (2011), no. 4, 546–565.
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  49. Erdmann, Karin; Solberg, Øyvind; Radical cube zero selfinjective algebras of finite complexity, J. Pure and Appl. Alg. 215 (2011) 1747–1768.
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  50. Solberg, Øyvind; Computational aspects of projective resolutions, Abstracts from the mini-workshop held September 30–October 6, 2012. Organized by Nicolas Andruskiewitsch, Michael Cuntz, Istvan Heckenberger and Sarah Witherspoon. Oberwolfach Rep. 9 (2012), no. 4, 2879-2905.
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  51. Psaroudakis, Chrysostomos; Skartsæterhagen, Øystein Ingmar; Solberg, Øyvind; Gorenstein categories, singular equivalences and finite generation of cohomology rings in recollements, Trans. Amer. Math. Soc. Ser. B 1 (2014), pp. 45-95.
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  52. Green, Edward L.; Snashall, Nicole; Solberg, Øyvind; Zacharia, Dan; On the diagonal subalgebra of an Ext algebra, Accepted in Journal of Pure and Applied Algebra, http://dx.doi.org/10.1016/j.jpaa.2016.08.007
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  53. Iyama, Osamu; Solberg, Øyvind; Auslander-Gorenstein algebras and precluster tilting, Adv. Math. 326 (2018), 200–240.
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  54. Solberg, Øyvind; Going relative with Maurice—a survey, Surveys in representation theory of algebras, 155–172, Contemp. Math., 716, Amer. Math. Soc., Providence, RI, 2018.
  55. Erdmann, Karin; Solberg, Øyvind; Wang, Xingting; On the structure and cohomology ring of connected Hopf algebras, Journal of Algebra 527 (2019) 366–39
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  56. Buan, Aslak; Krause, Henning; Snashall, Nicole; Solberg, Øyvind; Support varieties - an axiomatic approach, Math. Z. (2019).
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  57. Bergh, Petter Andreas; Sandøy, Mads Hustad; Solberg, Øyvind; On support varieties and tensor products for finite dimensional algebras, Journal of Algebra 547 (2020), 226-237.
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  58. Green, Edward L.; Psaroudakis, Chrysostomos; Solberg, Øyvind; Reduction techniques for the finitistic dimension, Trans. Amer. Math. Soc. 374 (2021), no. 10, 6839–6879.
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Preprints

  1. Solberg, Øyvind; Reduction for finistic dimension, Notes
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  2. Erdmann, Karin; Psaroudakis, Chrysostomos; Solberg, Øyvind; Homological invariants of the arrow removal operation, Preprint
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Editorships

  1. Reiten, Idun; Smalø, Sverre O.; Solberg, Øyvind; Algebras and modules. I, Papers from the Workshop on Representations of Algebras and Related Topics preceding the 8th International Conference on Representations of Algebras (ICRA VIII) held in Trondheim, July 29-August 3, 1996. Edited by Idun Reiten, Sverre O. Smalø and Øyvind Solberg. CMS Conference Proceedings, 23. Published by the American Mathematical Society, Providence, RI; for the Canadian Mathematical Society, Ottawa, ON, 1998. xiv+198 pp. ISBN: 0-8218-0850-8
  2. Reiten, Idun; Smalø, Sverre O.; Solberg, Øyvind; Algebras and modules. II, Proceedings of the 8th International Conference on Representations of Algebras (ICRA VIII) held in Geiranger, August 4-10, 1996. Edited by Idun Reiten, Sverre O. Smalø and Øyvind Solberg. CMS Conference Proceedings, 24. Published by the American Mathematical Society, Providence, RI; for the Canadian Mathematical Society, Ottawa, ON, 1998. xxii+569 pp. ISBN: 0-8218-1076-6
  3. Reiten, Idun; Smalø, Sverre O.; Solberg, Øyvind; Selected works of Maurice Auslander, Part 1, Edited and with a foreword by Idun Reiten, Sverre O. Smalø, and Øyvind Solberg. American Mathematical Society, Providence, RI, 1999. xxii+895 pp. ISBN: 0-8218-0998-9.
  4. Reiten, Idun; Smalø, Sverre O.; Solberg, Øyvind; Selected works of Maurice Auslander, Part 2, Edited and with a foreword by Idun Reiten, Sverre O. Smalø, and Øyvind Solberg. American Mathematical Society, Providence, RI, 1999. xvi+743 pp. ISBN: 0-8218-1000-6.
  5. Buan, Aslak; Reiten, Idun; Solberg, Øyvind; Algebras, Quivers and Representations, The Abel Symposium 2011, Abel Symposia, Vol. 8, 2013.