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 |
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Pages (from-to) | 2505-2519 |
Number of pages | 15 |
Journal | Communications in Algebra |
Volume | 45 |
Issue number | 6 |
DOIs | |
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