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On Complete Intersections and Their Hilbert Functions

  • Les Reid (a1), Leslie G. Roberts (a2) and Moshe Roitman (a3)

Abstract

We deal here with the existence of half-way nonzero divisors for complete intersections and with related properties of their Hilbert functions.

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Copyright

References

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[GMR] Geramita, A. V., Maroscia, P. and Roberts, L. G., The Hilbert function of a reduced k-algebra,i.London Math. Soc. (2)28 (1983), 443452.
[G] Grôbner, W., Moderne Algebraische Géométrie. Springer-Verlag, Wien und Innsbruck, 1949.10.1007/978-3-7091-5740-4
[PSS] Proctor, R. A., Saks, M. E. and Sturtevant, D. G., Product partial orders with the Sperner property, Discrete Mathematics 30 (1980), 173180.
[S] Stanley, R. P., Hilbert functions of graded algebras, Adv. in Math. 28 (1978), 5782.
[SI] Stanley, R. P., Weyl groups, the hard Lefschetz theorem and the Sperner property, Siam J. Alg. Disc. Meth. 1 (1980), 168184.
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Canadian Mathematical Bulletin
  • ISSN: 0008-4395
  • EISSN: 1496-4287
  • URL: /core/journals/canadian-mathematical-bulletin
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