Graded Betti numbers of ideals with linear quotient

Leila Sharifan, Matteo Varbaro

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.


Keywords


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

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