A quasi-additive property of homological shift ideals

DOI10.1007/s40840-023-01506-1zbMath1525.13016arXiv2310.14247OpenAlexW4366823723MaRDI QIDQ6102215

Shamila Bayati

Publication date: 8 May 2023

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2310.14247

zbMATH Keywords

free resolutionsBorel idealspolymatroidal idealslinear quotientsmultigraded shiftshomological shift ideals

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Graded rings (13A02) Syzygies, resolutions, complexes and commutative rings (13D02) Combinatorial aspects of commutative algebra (05E40)

Cites Work

• Weakly polymatroidal ideals with applications to vertex cover ideals
• Minimal resolutions of some monomial ideals
• Resolutions by mapping cones
• Multigraded shifts of matroidal ideals
• Castelnuovo-Mumford regularity of products of ideals
• Resolutions of \textbf{a}-stable ideals.
• Dirac's theorem on chordal graphs and Alexander duality
• Homological shift ideals
• LINEAR QUOTIENTS AND MULTIGRADED SHIFTS OF BOREL IDEALS
• Some homological properties of Borel type ideals

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