12 citations · 21 across the 7 of their papers we have counts for
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math.AC2009★ 4 cited
Consecutive cancellations in Betti numbers of local rings
Maria Evelina Rossi, Leila Sharifan
Let I be a homogeneous ideal in a polynomial ring P over a field. By Macaulay's Theorem, there exists a lexicographic ideal L=Lex(I) with the same Hilbert function as I. Peeva has…
math.AC2009★ 12 cited
Graded Betti numbers of ideals with linear quotients
Leila Sharifan, Matteo Varbaro
In the present paper we prove that all homogeneous ideals with linear quotients are componentwise linear. Moreover we establish an extended version of Eliahou-Kervaire formula for…