Lcm-lattice, Taylor bases and minimal free resolutions of a monomial ideal

DOI10.1142/S0219498822502164zbMath1504.13015arXiv1901.05865OpenAlexW3175829632MaRDI QIDQ5039760

Ri-Xiang Chen

Publication date: 4 October 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.05865

zbMATH Keywords

monomial idealminimal free resolutionTaylor basislcm-lattice

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (1)

Face posets of tropical polyhedra and monomial ideals

Cites Work

• Minimal resolutions of dominant and semidominant ideals
• Finite atomic lattices and resolutions of monomial ideals
• Graded syzygies
• Minimal resolutions of some monomial ideals
• The lcm-lattice in monomial resolutions
• Betti-linear ideals
• Poset resolutions and lattice-linear monomial ideals
• Rigid monomial ideals
• Minimal free resolutions that are not supported by a CW-complex
• LCM lattices supporting pure resolutions
• Frames and degenerations of monomial resolutions
• Modules over categories and Betti posets of monomial ideals

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