Applications of mapping cones over Clements-Lindström rings

DOI10.1016/j.jalgebra.2010.10.006zbMath1252.13008OpenAlexW2028853492MaRDI QIDQ630840

Irena Peeva, Satoshi Murai, Vesselin N. Gasharov

Publication date: 22 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.10.006

zbMATH Keywords

free resolutionsBetti numbersHilbert functions

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (4)

Macaulay–Lex ideals, Some Generalized Clements–Lindström Ideals ⋮ Poset embeddings of Hilbert functions and Betti numbers ⋮ Hilbert schemes and maximal Betti numbers over Veronese rings ⋮ Poset embeddings of Hilbert functions for two hypersurface rings

Cites Work

• Unnamed Item
• Homology of Noetherian rings and local rings
• Open problems on syzygies and Hilbert functions
• Minimal resolutions of some monomial ideals
• The minimal free resolution of a Borel ideal
• Squarefree lexsegment ideals
• Eine Bedingung für die Flachheit und das Hilbertpolynom eines graduierten Ringes
• Green and Gotzmann theorems for polynomial rings with restricted powers of the variables
• Gotzmann theorems for exterior algebras and combinatorics
• Shifting operations and graded Betti numbers
• Resolutions of \textbf{a}-stable ideals.
• Hilbert functions and lex ideals
• Hilbert schemes and Betti numbers over Clements–Lindström rings
• Resolutions of monomial ideals and cohomology over exterior algebras
• A generalization of a combinatorial theorem of macaulay

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