Partitions of Frobenius rings induced by the homogeneous weight
Heide Gluesing-Luerssen · Advances in Mathematics of Communications · 2014
The values of the homogeneous weight are determined for finite Frobenius rings that are a direct product of local Frobenius rings.This is used to investigate the partition induced by this weight and its dual partition under character-theoretic dualization.A characterization is given of those rings for which the induced partition is reflexive or even self-dual.