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The radical equation P(An) = (P(A))n
Published online by Cambridge University Press: 20 January 2009
Extract
The purpose of this paper is to impose conditions on a radical class P so that the P-radical of the ring of n × n-matrices over a ring A is equal to the ring of n×n-matrices over the ring P(A). In (1), Amitsur gave such conditions, but with the stipulation that the radical class P contained all zero-rings (rings in which all products are zero). In what follows, we shall be working within the class of associative rings.
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- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 19 , Issue 3 , March 1975 , pp. 257 - 259
- Copyright
- Copyright © Edinburgh Mathematical Society 1975
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