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On the resolution of certain level algebras

机译:On the resolution of certain level algebras

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In this paper, we investigate the minimal free resolution of certain level algebras which have minimal Hilbert Function among Artinian graded algebras of given socle degree and type. As a consequence of this results, we discover a new class of Hilbert Functions which do not support a unique smallest set of graded Betti numbers and another class which do not support all the possible resolutions between its maximum and minimum elements.

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