51
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Minimal Generating Sets for Relative Ideals in Numerical Semigroups of Multiplicity Eight

&
Pages 4713-4731 | Received 01 Jun 2003, Published online: 31 Aug 2006

References

  • Auslander , M. 1961 . Modules over unramified regular local rings . Illinois J. Math. , 5 : 631 – 647 .
  • Barucci , V. , Dobbs , D. and Fontana , M. 1997 . Maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains . Mem. Am. Math. Soc. , 125
  • Constapel , P. 1996 . Vanishing of Tor and torison in tensor products . Comm. Algebra , 24 : 833 – 846 .
  • Froberg , R. , Gottlieb , C. and Haggakvist , R. 1987 . On numerical semigroups . Semigroup Forum , 35 : 63 – 83 .
  • Herzinger , K. 1996 . Torison in the tensor product of an ideal with its inverse . Comm. Algebra , 24 : 3065 – 3083 .
  • Herzinger , K. 1999 . The number of generators for an ideal and its dual in a numerical semigroup . Comm. Algebra , 27 : 4673 – 4689 .
  • Herzinger , K. 2001 . Ideals and duals generated by two elements in nonsymmetric numerical semigroups . Comm. Algebra , 29 : 5003 – 5011 .
  • Huneke , C. and Wiegand , R. 1994 . Tensor products of modules and the rigidity of Tor . Math. Ann. , 299 : 449 – 476 .
  • Huneke , C. and Wiegand , R. 1997 . Tensor products of modules, rigidity and local cohomology . Math. Scand. , 81 : 161 – 183 .
  • Kunz , E. 1970 . The value-semigroup of a one-dimesional Gorenstein ring . Proc. Am. Math. Soc. , 25 : 748 – 751 .
  • #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.