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Partitions of Frobenius Rings Induced by the Homogeneous Weight
Published 24 Apr 2013 in cs.IT, math.IT, and math.RA | (1304.6589v2)
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.
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