A NOTE ON PROJECTIVE DIMENSION OVER TWISTED COMMUTATIVE ALGEBRAS
Abstract
Let $M$ be a finitely generated module over a free twisted commutative algebra $A$ that is finitely generated in degree one. We show that the projective dimension of $M({\bf C}^n)$ as an $A({\bf C}^n)$-module is eventually linear as a function of $n$. This confirms a conjecture of Le, Nagel, Nguyen, and Römer for a special class of modules.
Fields of Study & Subjects
Algebraic structures and combinatorial models
Advanced Topics in Algebra
Rings
Modules
and Algebras
Publication details
- Journal / source
- Journal of Commutative Algebra
- Volume
- 18
- Issue
- 1
- Publication date
- 1 March 2026
- Language
- EN