Exact pairs of homogeneous zero divisors
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...
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Zusammenfassung: | 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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DOI: | 10.48550/arxiv.1304.0411 |