The Golod property for products and high symbolic powers of monomial ideals

DOI10.1016/j.jalgebra.2013.12.005zbMath1325.13018arXiv1209.2577OpenAlexW2963908230MaRDI QIDQ405840

Seyed Amin Seyed Fakhari, Volkmar Welker

Publication date: 8 September 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.2577

zbMATH Keywords

monomial idealsymbolic powermoment-angle complexGolod ringproduct idealstrong gcd-condition

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items (4)

Algebraic properties of ideals of poset homomorphisms ⋮ Products of ideals may not be Golod ⋮ Free resolution of powers of monomial ideals and Golod rings ⋮ Ordinary and symbolic powers are Golod

Cites Work

• Symbolic powers of monomial ideals and vertex cover algebras
• Moment-angle complexes, monomial ideals and Massey products
• On sequentially Cohen-Macaulay complexes and posets
• Golodideale der Gestalt \(\mathfrak a\cap\mathfrak b\)
• The lcm-lattice in monomial resolutions
• Componentwise linear ideals and Golod rings
• Ordinary and symbolic powers are Golod
• On the Golod property of Stanley-Reisner rings
• On the multigraded Hilbert and Poincaré-Betti series and the Golod property of monomial rings
• Poincaré series of monomial rings
• Ideals defining Gorenstein rings are (almost) never products
• Monomial Ideals
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