Linear resolutions of t-spread lexsegment ideals via Betti splittings
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Publication:6183985
DOI10.1142/s0219498824500725zbMath1530.13023arXiv2211.11026OpenAlexW4309261712MaRDI QIDQ6183985
Marilena Crupi, Antonino Ficarra
Publication date: 24 January 2024
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.11026
Syzygies, resolutions, complexes and commutative rings (13D02) Combinatorial aspects of commutative algebra (05E40)
Cites Work
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- Betti splitting via componentwise linear ideals
- Powers of lexsegment ideals with linear resolution
- Splittable ideals and the resolutions of monomial ideals
- Minimal resolutions of some monomial ideals
- Properties of lexsegment ideals
- Squarefree lexsegment ideals
- Lexsegment ideals with linear resolution
- Betti numbers of lex-segment ideals
- Classification of Cohen-Macaulay \(t\)-spread lexsegment ideals via simplicial complexes
- Arithmetical rank of lexsegment edge ideals
- Splittings of monomial ideals
- Completely lexsegment ideals
- Monomial Ideals
- Shifting operations and completely t–spread lexsegment ideals
- Minimal free resolutions of fiber products
- Kruskal-Katona Theorem for t-spread strongly stable ideals
- t-Spread strongly stable monomial ideals*
- Some homological properties of Borel type ideals
- On the resolution of ideals of fat points
- Classes of cut ideals and their Betti numbers
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