On a Property of Transfer Ideals

Year 2026, Volume: 7 Issue: 1, 47 - 52, 31.01.2026

Bekir Danış

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.

Keywords

transfer ideals , Borel subgroup , submodules

Ethical Statement

The author declares that the materials and methods used in his study do not require ethical committee and/or legal special permission.

References

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