On the multigraded Hilbert and Poincaré-Betti series and the Golod property of monomial rings

DOI10.1016/j.jpaa.2005.10.019zbMath1101.13025arXivmath/0501356OpenAlexW2157068140MaRDI QIDQ2504382

Michael Jöllenbeck

Publication date: 25 September 2006

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501356

Mathematics Subject Classification ID

Algebraic combinatorics (05E99) Computational aspects and applications of commutative rings (13P99) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items (10)

\(A_\infty\)-resolutions and the Golod property for monomial rings ⋮ Algebraic properties of ideals of poset homomorphisms ⋮ Combinatorics of multigraded Poincaré series for monomial rings ⋮ A non-Golod ring with a trivial product on its Koszul homology ⋮ The Golod property for products and high symbolic powers of monomial ideals ⋮ The Golod property for Stanley-Reisner rings in varying characteristic ⋮ Products of ideals may not be Golod ⋮ Free resolution of powers of monomial ideals and Golod rings ⋮ On the Golod property of Stanley-Reisner rings ⋮ Fat-wedge filtration and decomposition of polyhedral products

Cites Work

• Unnamed Item
• Unnamed Item
• Componentwise linear ideals and Golod rings
• On the Golod property of Stanley-Reisner rings
• Combinatorial problems of commutation and rearrangements
• Discrete Morse theory for cellular resolutions
• Poincare series and resolutions of the residue field over monomial rings

This page was built for publication: On the multigraded Hilbert and Poincaré-Betti series and the Golod property of monomial rings