Graded Betti numbers of ideals with linear quotient

  • Leila Sharifan Amirkabir University of Technology
  • Matteo Varbaro Universit√† di Genova
Keywords: Graded Betti numbers, Componentwise linear ideal, Ideals with linear quotient


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