Unmixed and sequentially Cohen-Macaulay skew tableau ideals

2024/10/27 by Dô Trong Hoang, Hoang, Do Trong, Thanh Vu +1
Mathematics · Neuroscience · #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Neurological Disorders and Treatments #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2410.20492

openalex publication_date 2024/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We associate a \it 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.

Related

• Depth and regularity of tableau ideals
• Sequentially Cohen-Macaulay mixed product ideals
• Sequentially Cohen-Macaulay monomial ideals of embedding dimension four
• Sequentially Cohen-Macaulay binomial edge ideals
• The projective dimension of sequentially Cohen-Macaulay monomial ideals