<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</abstract>

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.

A note on minimal resolutions of vector–spread Borel ideals

Department of Mathematics and Computer Sciences, Physics and Earth Sciences

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"A note on minimal resolutions of vector\u2013spread Borel ideals"}

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...

A note on minimal resolutions of vector–spread Borel ideals

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
monomial ideals, vector–spread Borel ideals, Cohen–Macaulay ideals, extremal Betti numbers

© 2023 Marilena Crupi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

A note on minimal resolutions of vector–spread Borel ideals

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

Keywordsmonomial ideals, vector–spread Borel ideals, Cohen–Macaulay ideals, extremal Betti numbers

© 2023 Marilena Crupi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
monomial ideals, vector–spread Borel ideals, Cohen–Macaulay ideals, extremal Betti numbers