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arxiv: 0901.3088 · v2 · pith:JDYAVCW4new · submitted 2009-01-20 · 🧮 math.AC

Graded Betti numbers of ideals with linear quotients

classification 🧮 math.AC
keywords linearbettigradedidealsnumbersquotientscomponentwiseeliahou-kervaire
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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 graded Betti numbers.

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