A note on minimal resolutions of vector–spread Borel ideals
und | 27. März 2023
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Online veröffentlicht: 27. März 2023
Seitenbereich: 71 - 84
Eingereicht: 21. Juni 2022
Akzeptiert: 21. Nov. 2022
DOI: https://doi.org/10.2478/auom-2023-0020
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© 2023 Marilena Crupi et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
We consider vector–spread Borel ideals. We show that these ideals have linear quotients and thereby we determine the graded Betti numbers and the bigraded Poincaré series. A characterization of the extremal Betti numbers of such a class of ideals is given. Finally, we classify all Cohen–Macaulay vector–spread Borel ideals.