Monomial ideals induced by permutations avoiding patterns

DOI10.1007/s12044-018-0453-9zbMath1404.13012OpenAlexW2903659990MaRDI QIDQ1713078

Ajay Kumar, Chanchal Kumar

Publication date: 24 January 2019

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-018-0453-9

zbMATH Keywords

parking functionscellular resolutionsstandard monomialspermutations avoiding patterns

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02) Combinatorial aspects of commutative algebra (05E40)

Related Items (1)

Integer sequences and monomial ideals

Uses Software

• OEIS

Cites Work

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• Generic and cogeneric monomial ideals
• The lcm-lattice in monomial resolutions
• A polytope related to empirical distributions, plane trees, parking functions, and the associahedron
• Alexander duals of multipermutohedron ideals
• Cellular resolutions of monomial modules
• Trees, parking functions, syzygies, and deformations of monomial ideals
• Restricted permutations

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