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Co-radical extension of
PI rings
Maurice Chacron |
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Vol. 62 (1976), No. 1, 61–64
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Abstract |
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Throughout this paper R will denote any associative ring (without necessarily 1) with a fixed subring A such that for each element x of R, there is a polynomial gx(t) (depending on x) having integral coefficients so that the element x − x2 ⋅ g(x) must be in A, say, R is a co-radical extension of the ring A, or R is co-radical over A. In this paper it is shown that if A is PI (ring with polynomial identity) then so must be R. |
Mathematical Subject Classification
Primary: 16A38, 16A38
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Milestones
Received: 30 June 1975
Revised: 13 October 1975
Published: 1 January 1976
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Authors |
| Maurice Chacron | |
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