Castelnuovo–Mumford regularity of monomial ideals arising from posets

DOI10.1080/00927872.2022.2057515OpenAlexW4229003105MaRDI QIDQ5085195

Seyed Amin Seyed Fakhari

Publication date: 27 June 2022

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

Full work available at URL: https://doi.org/10.1080/00927872.2022.2057515

zbMATH Keywords

posetCastelnuovo-Mumford regularityedge idealchain complex

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Combinatorial aspects of commutative algebra (05E40)

Cites Work

• Unnamed Item
• Bounds on the regularity and projective dimension of ideals associated to graphs
• Results on the regularity of square-free monomial ideals
• Matchings, coverings, and Castelnuovo-Mumford regularity
• Graded syzygies
• On the ideal theory of graphs
• An upper bound for the regularity of symbolic powers of edge ideals of chordal graphs
• Improved bounds for the regularity of edge ideals of graphs
• Upper bounds for the regularity of powers of edge ideals of graphs
• Regularity and Koszul property of symbolic powers of monomial ideals
• The regularity of powers of edge ideals
• Regularity of symbolic powers of cover ideals of graphs
• Regularity of edge ideals and their powers
• Regularity of symbolic powers of edge ideals of unicyclic graphs
• Characteristic-independence of Betti numbers of graph ideals
• An upper bound for the regularity of powers of edge ideals
• Asymptotic behaviour of Castelnuovo-Mumford regularity
• Monomial Ideals
• Regularity of symbolic powers of edge ideals of Cameron-Walker graphs
• Symbolic powers of edge ideals of graphs

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