Betti numbers of strongly color-stable ideals and squarefree strongly color-stable ideals

DOI10.1007/s10801-007-0095-yzbMath1166.13027OpenAlexW1966014887MaRDI QIDQ925311

Satoshi Murai

Publication date: 3 June 2008

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-007-0095-y

zbMATH Keywords

Balanced complexesColored algebraic shiftingGraded Betti numbers

Mathematics Subject Classification ID

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

Related Items

Betti numbers of lex ideals over some Macaulay-lex rings ⋮ Flag complexes and homology

Uses Software

• CoCoA

Cites Work

• The number of faces of balanced Cohen-Macaulay complexes and a generalized Macaulay theorem
• An extended Euler-Poincaré theorem
• Gotzmann theorems for exterior algebras and combinatorics
• Bigeneric initial ideals, diagonal subalgebras and bigraded Hilbert functions
• Shifting operations and graded Betti numbers
• Combinatorics and commutative algebra.
• Generic initial ideals and squeezed spheres
• Face numbers and nongeneric initial ideals
• Shadows of colored complexes.
• Balanced Cohen-Macaulay Complexes
• Resolutions of monomial ideals and cohomology over exterior algebras
• Shellable Nonpure Complexes and Posets. I
• Generic Initial Ideals and Distractions
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