Graded Betti numbers of ideals with linear quotient

Authors

  • Leila Sharifan Amirkabir University of Technology
  • Matteo Varbaro Università di Genova

Keywords:

Graded Betti numbers, Componentwise linear ideal, Ideals with linear quotient

Abstract

In this paper we show that every ideal with linear quotients is componentwise linear. We also generalize the Eliahou-Kervaire formula for graded Betti numbers of stable ideals to homogeneous ideals with linear quotients.

Author Biographies

  • Leila Sharifan, Amirkabir University of Technology
    Department of Pure Mathematics,
    Faculty of Mathematics and Computer Science,
    424, Hafez Ave., Tehran 15914, Iran
  • Matteo Varbaro, Università di Genova
    Dipartimento di Matematica,
    Via Dodecaneso 35, I-16146 Genova, Italy

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Published

2009-04-07

Issue

Vol. 63 No. 2 (2008)

Section

Articoli

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