Support posets of some monomial ideals

DOI10.1007/s00200-020-00461-9OpenAlexW3089177957WikidataQ126310840 ScholiaQ126310840MaRDI QIDQ2154495

Patricia Pascual-Ortigosa, Eduardo Sáenz-de-Cabezón

Publication date: 19 July 2022

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.08125

zbMATH Keywords

monomial idealsseries-parallel systemssupport posets

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55)

Cites Work

• Computational algebraic algorithms for the reliability of generalized \(k\)-out-of-\(n\) and related systems
• The behavior of Stanley depth under polarization
• Mincut ideals of two-terminal networks
• Multigraded Betti numbers without computing minimal free resolutions
• Betti numbers and minimal free resolutions for multi-state system reliability bounds
• Resolutions by mapping cones
• Cohen-Macaulay properties of square-free monomial ideals
• Resolutions obtained by iterated mapping cones
• Associated primes of powers of edge ideals
• Polarization and depolarization of monomial ideals with application to multi-state system reliability
• Prime filtrations of monomial ideals and polarizations
• Embedded associated primes of powers of square-free monomial ideals
• Algebraic Properties of the Path Ideal of a Tree
• Monomial Ideals
• Polarization of Koszul cycles with applications to powers of edge ideals of whisker graphs

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