81
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

On the Regularity and Koszulness of Modules Over Local Rings

Pages 3438-3452 | Received 30 Oct 2012, Published online: 04 Apr 2014

REFERENCES

  • Abhyankar , S. ( 1967 ). Local rings of high embedding dimension . Amer. J. Math. 89 : 1073 – 1077 .
  • Avramov , L. L. , Eisenbud , D. ( 1992 ). Regularity of modules over a Koszul algebra . J. Algebra 153 : 85 – 90 .
  • Avramov , L. L. , Iyengar , S. , Şega , L. M. ( 2008 ). Free resolutions over short local rings. J. Lond. Math. Soc. (2) 78:459–476 .
  • Conca , A. , De Negri , E. , Rossi , M. E. ( 2013 ). Koszul algebras and regularity. Commutative Algebra 285–315. New York: Springer .
  • Conca , A. , Rossi , M. E. , Valla , G. ( 2001 ). Gröbner flags and Gorenstein algebras . Compositio Math. 129 : 95 – 121 .
  • Conca , A. , Trung , N. V. , Valla , G. ( 2001 ). Koszul property for points in projective spaces . Math. Scand. 89 : 201 – 216 .
  • Fitzgerald , R. W. ( 1996 ). Local Artinian rings and the Fröberg relation . Rocky Mountain J. Math. 26 : 1351 – 1369 .
  • Henriques , B. , Şega , L. ( 2011 ). Free resolutions over short Gorenstein local rings . Math. Z. 267 : 645 – 663 .
  • Herzog , J. , Hibi , T. , Restuccia , G. ( 2000 ). Strongly Koszul algebras . Math. Scand. 86 : 161 – 178 .
  • Herzog , J. , Iyengar , S. ( 2005 ). Koszul modules . J. Pure Appl. Algebra 201 : 154 – 188 .
  • Herzog , J. , Reiner , V. , Welker , V. ( 1998 ). The koszul property in affine semigroup rings . Pacific J. Math. 186 : 39 – 65 .
  • Huneke , C. , Swanson , I. ( 2006 ). Integral Closure of Ideals, Rings, and Modules London Mathematical Lecture Note Series, Vol. 336. Cambridge University Press .
  • Iyengar , S. , Römer , T. Linearity defects of modules over commutative rings. J.Algebra 322:3212–3237.
  • Levin , G. ( 1980 ). Large homomorphisms of local rings . Math. Scand. 46 : 209 – 215 .
  • Löfwall , C. ( 1986 ). On the Subalgebra Generated by One-Dimensional Elements in the Yoneda Ext-Algebra . In : Roos, J.-E. ed., Algebra, Algebraic Topology and their Interactions, Lect. Notes Math., 1183:291–338, Berlin/New York: Springer-Verlag .
  • Rossi , M. E. , Valla , G. ( 2010 ). Hilbert Functions of Filtered Modules . Lecture Notes of the Unione Matematica Italiana , Vol. 9. Springer-Verlag, Berlin : UMI, Bologna .
  • Şega , L. M. ( 2001 ). Homological properties of powers of the maximal ideal of a local ring . J. Algebra 241 : 827 – 858 .
  • Communicated by I. Swanson.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.