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

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10.1080/00927872.2016.1233214

Cite this

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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.",

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KW - companion matrix

KW - Jacobson radical

KW - nil radical

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Radicals of matrix rings generated by a companion matrix

Abstract

Keywords

ASJC Scopus subject areas

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