GRADED-INJECTIVE MODULES AND BASS NUMBERS OF VERONESE SUBMODULES
Abstract
Let R be a standard graded, finitely generated algebra over a field, and let M be a graded module over R with all Bass numbers finite. Set to be the n-th Veronese functor. We compute the Bass numbers of M(n) over the ring R(n) for all prime ideals of R(n) that are not the homogeneous maximal ideal in terms of the Bass numbers of M over R. As an application to local cohomology modules, we determine the Bass numbers of HI∩R(n)i(R(n)) over the ring R(n) in the case where HIi(R) has finite Bass numbers over R and I is a graded ideal.
Fields of Study & Subjects
Rings
Modules
and Algebras
Commutative Algebra and Its Applications
Advanced Algebra and Logic
Publication details
- Journal / source
- Journal of Commutative Algebra
- Volume
- 18
- Issue
- 2
- Pages
- 205–231
- Publication date
- 29 July 2026
- Language
- EN