Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6414333 | Journal of Algebra | 2016 | 28 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Andrew R. Kustin, Janet Striuli, Adela Vraciu,