Title
Partitions of Frobenius rings induced by the homogeneous weight.
Abstract
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.
Year
DOI
Venue
2013
10.3934/amc.2014.8.191
ADVANCES IN MATHEMATICS OF COMMUNICATIONS
Keywords
DocType
Volume
Homogeneous weight,finite Frobenius rings,reflexive partitions
Journal
8
Issue
ISSN
Citations 
2
1930-5346
3
PageRank 
References 
Authors
0.42
12
1
Name
Order
Citations
PageRank
Heide Gluesing-Luerssen16912.81