Rigid monomial ideals

DOI10.1216/JCA-2014-6-1-33zbMath1295.13020arXiv1102.2243MaRDI QIDQ2453701

Timothy B. P. Clark, Sonja Mapes

Publication date: 10 June 2014

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

Full work available at URL: https://arxiv.org/abs/1102.2243

zbMATH Keywords

lcm latticeMinimal free resolution, Betti numbersRigid monomial ideal

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items

Lcm-lattice, Taylor bases and minimal free resolutions of a monomial ideal ⋮ The structure of DGA resolutions of monomial ideals ⋮ Modules over categories and Betti posets of monomial ideals ⋮ Betti-linear ideals ⋮ Face posets of tropical polyhedra and monomial ideals ⋮ Betti posets and the Stanley depth ⋮ LCM lattices supporting pure resolutions ⋮ Structural decomposition of monomial resolutions ⋮ Regular CW-Complexes and Poset Resolutions of Monomial Ideals ⋮ Minimal free resolutions of monomial ideals and of toric rings are supported on posets

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite atomic lattices and resolutions of monomial ideals
• The lcm-lattice in monomial resolutions
• Planar graphs as minimal resolutions of trivariate monomial ideals
• Poset resolutions and lattice-linear monomial ideals
• Minimal free resolutions that are not supported by a CW-complex
• Frames and degenerations of monomial resolutions
• Minimal Free Resolutions of Complete Bipartite Graph Ideals
• Cellular resolutions of monomial modules
• On multigraded resolutions