Partitions of frobenius rings induced by the homogeneous weight

Heide Gluesing-Luerssen

doi:10.3934/amc.2014.8.191

Partitions of frobenius rings induced by the homogeneous weight

Heide Gluesing-Luerssen

Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

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.

Original language	English
Pages (from-to)	191-207
Number of pages	17
Journal	Advances in Mathematics of Communications
Volume	8
Issue number	2
DOIs	https://doi.org/10.3934/amc.2014.8.191
State	Published - 2014

Funding

Funders	Funder number
U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China	0908379

Keywords

Finite frobenius rings
Homogeneous weight
Reflexive partitions

ASJC Scopus subject areas

Algebra and Number Theory
Computer Networks and Communications
Discrete Mathematics and Combinatorics
Applied Mathematics

Access to Document

10.3934/amc.2014.8.191

Cite this

@article{4d4acf9dba904bcdbebc3a50c2ad6443,

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.",

keywords = "Finite frobenius rings, Homogeneous weight, Reflexive partitions",

author = "Heide Gluesing-Luerssen",

year = "2014",

doi = "10.3934/amc.2014.8.191",

language = "English",

volume = "8",

pages = "191--207",

number = "2",

}

TY - JOUR

T1 - Partitions of frobenius rings induced by the homogeneous weight

AU - Gluesing-Luerssen, Heide

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

KW - Finite frobenius rings

KW - Homogeneous weight

KW - Reflexive partitions

UR - https://www.scopus.com/pages/publications/84900337611

UR - https://www.scopus.com/pages/publications/84900337611#tab=citedBy

U2 - 10.3934/amc.2014.8.191

DO - 10.3934/amc.2014.8.191

M3 - Article

AN - SCOPUS:84900337611

SN - 1930-5346

VL - 8

SP - 191

EP - 207

JO - Advances in Mathematics of Communications

JF - Advances in Mathematics of Communications

IS - 2

ER -

Partitions of frobenius rings induced by the homogeneous weight

Abstract

Funding

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this