Radicals of matrix rings generated by a companion matrix

Stefan Veldsman

doi:10.1080/00927872.2016.1233214

Radicals of matrix rings generated by a companion matrix

Stefan Veldsman^*

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

The radicals of full matrix rings as well as structural matrix rings have been studied extensively and there is a well-developed theory for both. Here we initiate the radical theory for another class of matrix rings over a given ring; the matrix ring generated by the companion matrix of a polynomial over the ring.

Original language	English
Pages (from-to)	2505-2519
Number of pages	15
Journal	Communications in Algebra
Volume	45
Issue number	6
DOIs	https://doi.org/10.1080/00927872.2016.1233214
Publication status	Published - Jun 3 2017
Externally published	Yes

Keywords

Barnett matrix ring
companion matrix
Jacobson radical
nil radical

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1080/00927872.2016.1233214

Cite this

@article{69c64697ac7f433c9f4be497120f0ec6,

title = "Radicals of matrix rings generated by a companion matrix",

abstract = "The radicals of full matrix rings as well as structural matrix rings have been studied extensively and there is a well-developed theory for both. Here we initiate the radical theory for another class of matrix rings over a given ring; the matrix ring generated by the companion matrix of a polynomial over the ring.",

keywords = "Barnett matrix ring, companion matrix, Jacobson radical, nil radical",

author = "Stefan Veldsman",

note = "Publisher Copyright: {\textcopyright} 2017, Copyright {\textcopyright} Taylor & Francis.",

year = "2017",

month = jun,

day = "3",

doi = "10.1080/00927872.2016.1233214",

language = "English",

volume = "45",

pages = "2505--2519",

journal = "Communications in Algebra",

issn = "0092-7872",

publisher = "Taylor and Francis Ltd.",

number = "6",

}

TY - JOUR

T1 - Radicals of matrix rings generated by a companion matrix

AU - Veldsman, Stefan

PY - 2017/6/3

Y1 - 2017/6/3

N2 - The radicals of full matrix rings as well as structural matrix rings have been studied extensively and there is a well-developed theory for both. Here we initiate the radical theory for another class of matrix rings over a given ring; the matrix ring generated by the companion matrix of a polynomial over the ring.

AB - The radicals of full matrix rings as well as structural matrix rings have been studied extensively and there is a well-developed theory for both. Here we initiate the radical theory for another class of matrix rings over a given ring; the matrix ring generated by the companion matrix of a polynomial over the ring.

KW - Barnett matrix ring

KW - companion matrix

KW - Jacobson radical

KW - nil radical

UR - http://www.scopus.com/inward/record.url?scp=85008952952&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85008952952&partnerID=8YFLogxK

U2 - 10.1080/00927872.2016.1233214

DO - 10.1080/00927872.2016.1233214

M3 - Article

AN - SCOPUS:85008952952

VL - 45

SP - 2505

EP - 2519

JO - Communications in Algebra

JF - Communications in Algebra

SN - 0092-7872

IS - 6

ER -

Radicals of matrix rings generated by a companion matrix

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this