À propos de cet article
Publié en ligne: 27 mars 2023
Pages: 71 - 84
Reçu: 21 juin 2022
Accepté: 21 nov. 2022
DOI: https://doi.org/10.2478/auom-2023-0020
Mots clés
© 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.