Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 47, No. 1, pp. 29-51 (2006)

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On the depth and regularity of the symmetric algebra

Jürgen Herzog, Gaetana Restuccia and Giancarlo Rinaldo

FB6 Mathematik und Informatik, Universität Duisburg-Essen, 45117 Essen, Germany, e-mail:; Dipartimento di Matematica, Università di Messina, Contrada Papardo, salita Sperone, 31, 98166 Messina, Italy, e-mail:; e-mail:

Abstract: Let $(R,\mm)$ be a standard graded $K$-algebra whose defining ideal is componentwise linear. Using Gröbner basis techniques, bounds for the depth and the regularity of the symmetric algebra $\Sym(\mm)$ are given.

Classification (MSC2000): 2000: 13H10, 13P10, 13D02

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Electronic version published on: 9 May 2006. This page was last modified: 4 Nov 2009.

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