<p>We associate a <i>skew tableau ideal</i> to each filling of a skew Ferrers diagram with positive integers. We classify all unmixed and sequentially Cohen–Macaulay skew tableau ideals. Consequently, we classify all Cohen–Macaulay, Buchsbaum, and generalized Cohen–Macaulay skew tableau ideals.</p>

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Unmixed and sequentially Cohen–Macaulay skew tableau ideals

  • Do Trong Hoang,
  • Thanh Vu

摘要

We associate a skew tableau ideal to each filling of a skew Ferrers diagram with positive integers. We classify all unmixed and sequentially Cohen–Macaulay skew tableau ideals. Consequently, we classify all Cohen–Macaulay, Buchsbaum, and generalized Cohen–Macaulay skew tableau ideals.