About this article
Published Online: Mar 27, 2023
Page range: 71 - 84
Received: Jun 21, 2022
Accepted: Nov 21, 2022
DOI: https://doi.org/10.2478/auom-2023-0020
Keywords
© 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.