GRADED BETTI NUMBERS OF POWERS OF PATH IDEALS OF PATHS

Journal of Commutative Algebra 2026 Open access

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Authors: Silviu Bălănescu, Mircea Cimpoeaş, Thanh Vu
DOI: 10.1216/jca.2026.18.129
Cited by: 0

Abstract

Let In,m=(x1⋯xm,x2⋯xm+1,…,xn+1xn+2⋯xn+m) be the m-path ideal of a path of length n+m−1 over a polynomial ring . We compute all the graded Betti numbers of all powers of In,m.

Fields of Study & Subjects

Commutative Algebra and Its Applications

Publication details

Journal / source
Journal of Commutative Algebra
Volume
18
Issue
2
Pages
129–138
Publication date
29 July 2026
Language
EN