A Linear Generalization of the Nearly Gorenstein Property, With Applications to Veronese Subalgebras
Abstract
ABSTRACT We study the nearly Gorenstein property for Veronese subalgebras of (semi‐)standard graded algebras. We introduce a condition for Cohen–Macaulay semi‐standard graded rings, motivated by the study of Ehrhart rings. We show that if a semi‐standard graded algebra satisfies , then its Veronese subalgebras are nearly Gorenstein for all sufficiently large . We also prove that if a standard graded algebra is nearly Gorenstein so does its Veronese subalgebra for all .
Fields of Study & Subjects
Algebraic structures and combinatorial models
Commutative Algebra and Its Applications
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Mathematische Nachrichten
- Publisher
- Wiley
- Volume
- 299
- Issue
- 9
- Pages
- 2436–2451
- Publication date
- 10 July 2026
- Language
- EN