Frames and degenerations of monomial resolutions
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Publication:2997227
DOI10.1090/S0002-9947-2010-04980-3zbMath1221.13024OpenAlexW2083583098MaRDI QIDQ2997227
Publication date: 6 May 2011
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-2010-04980-3
Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02)
Related Items
Polarizations and hook partitions, Lcm-lattice, Taylor bases and minimal free resolutions of a monomial ideal, Modules over categories and Betti posets of monomial ideals, Subadditivity of Syzygies of Ideals and Related Problems, Linearity of free resolutions of monomial ideals, Types of signature analysis in reliability based on Hilbert series, Simplicial resolutions of powers of square-free monomial ideals, The Scarf complex and Betti numbers of powers of extremal ideals, On the radical of multigraded modules, On Borel fixed ideals generated in one degree, Monomial resolutions supported by simplicial trees, Rigid monomial ideals, Stanley depth and simplicial spanning trees, Lyubeznik numbers of monomial ideals, Linear resolutions of quadratic monomial ideals, Minimal free resolutions that are not supported by a CW-complex, Betti numbers of chordal graphs and \(f\)-vectors of simplicial complexes, Binomial edge ideals and bounds for their regularity, Linearity defect of edge ideals and Fröberg's theorem, LINEAR QUOTIENTS AND MULTIGRADED SHIFTS OF BOREL IDEALS, Minimal free resolutions of monomial ideals and of toric rings are supported on posets
Cites Work
- The Eliahou-Kervaire resolution is cellular
- Representations of matroids and free resolutions for multigraded modules
- Minimal resolutions of some monomial ideals
- f-vectors of acyclic complexes
- Free resolutions for multigraded modules: A generalization of Taylor's construction
- The lcm-lattice in monomial resolutions
- The Alexander duality functors and local duality with monomial support
- Resolutions of \textbf{a}-stable ideals.
- Poset resolutions and lattice-linear monomial ideals
- Minimal free resolutions that are not supported by a CW-complex
- Discrete Morse theory for cellular resolutions
- Minimal resolutions via algebraic discrete Morse theory
- Cellular resolutions of monomial modules
