Exact pairs of homogeneous zero divisors

Andrew R. Kustin; Janet Striuli; Adela Vraciu

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arXiv · 1304.0411

Exact pairs of homogeneous zero divisors

Andrew R. Kustin·Janet Striuli·Adela Vraciu

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Abstract

Let S be a standard graded Artinian algebra over a field k. We identify constraints on the Hilbert function of S which are imposed by the hypothesis that S contains an exact pair of homogeneous zero divisors. As a consequence, we prove that if S is a compressed level algebra, then S does not contain any homogeneous zero divisors.

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BibTeX RIS

Andrew R. Kustin, Janet Striuli, Adela Vraciu. 2013-04-01. Exact pairs of homogeneous zero divisors. https://arxiv.org/abs/1304.0411

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