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On Complete Intersections and Their Hilbert Functions

Published online by Cambridge University Press:  20 November 2018

Les Reid ,
Leslie G. Roberts  and
Moshe Roitman
Les Reid
Affiliation:
Department of Mathematics, Southwest Missouri State University
Leslie G. Roberts
Affiliation:
Department of Mathematics and Statistics, Queen's University, Kingston, Ontario K7L 3N6
Moshe Roitman
Affiliation:
Department of Mathematics and Computer Science, University of Haifa, Mount Carmel, Haifa, 31999 Israel
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Abstract

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

Keywords

13B30
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 4 , 01 December 1991 , pp. 525 - 535
Copyright
Copyright © Canadian Mathematical Society 1991

References

[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), 443–452.Google Scholar
[G] Grôbner, W., Moderne Algebraische Géométrie. Springer-Verlag, Wien und Innsbruck, 1949.Google Scholar
[PSS] Proctor, R. A., Saks, M. E. and Sturtevant, D. G., Product partial orders with the Sperner property, Discrete Mathematics 30 (1980), 173–180.Google Scholar
[S] Stanley, R. P., Hilbert functions of graded algebras, Adv. in Math. 28 (1978), 57–82.Google Scholar
[SI] Stanley, R. P., Weyl groups, the hard Lefschetz theorem and the Sperner property, Siam J. Alg. Disc. Meth. 1 (1980), 168–184.Google Scholar