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Radicals of matrix rings generated by a companion matrix

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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… Click to show full abstract

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: companion matrix; radicals matrix; matrix; generated companion; matrix rings

Journal Title: Communications in Algebra
Year Published: 2017

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