On a Property of Transfer Ideals
Abstract
We study the initial ideal of the ideal of transfers for a finite group with respect to the graded reverse lexicographic order. We prove that the Borel fixedness property of this ideal passes to that of submodules, i.e., if this ideal is Borel fixed for a module, then it stays Borel fixed for all its submodules. We also prove a partial converse.
Fields of Study & Subjects
Commutative Algebra and Its Applications
Advanced Combinatorial Mathematics
Polynomial and algebraic computation
Publication details
- Journal / source
- Fundamentals of Contemporary Mathematical Sciences
- Volume
- 7
- Issue
- 1
- Pages
- 47–52
- Publication date
- 31 January 2026