Work

Comparison of stability indices of powers of graded ideals

Year: 2026

Type: article

Abstract: In this paper, we compare the index of ass-stability [Formula: see text] and the index of [Formula: see text]-stability [Formula: see text] of powers of a graded ideal [Formula: see text]. We prove that [Formula: see text] for any graded ideal [Formula: see text] in a 2-dimensional polynomial ring, and that [Formula: see text] can be any positive integer in this situation. Moreover, given any integers [Formula: see text], we construct a graded ideal [Formula: see text] in a [Formula: see text]-dimensional polynomial ring such that [Formula: see text].

Source: International Journal of Algebra and Computation

DOI: 10.1142/s0218196726500566

Authors: Antonino Ficarra, Emanuele Sgroi

Institutions: Ikerbasque, Basque Center for Applied Mathematics, University of Messina

Language: English

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Agencia Estatal de Investigación

Awards: G3480869486, G5080475149, G7084143925, G862035694