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R[x, y] is Brown-McCoy Radical if R[x] is Jacobson Radical

Agata Smoktunowicz ()
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Agata Smoktunowicz: Yale University, Department of Mathematics

A chapter in Proceedings of the Third International Algebra Conference, 2003, pp 235-240 from Springer

Abstract: Abstract Let R be a ring such that the polynomial ring R[x] over R in one indeterminate x is Jacobson radical. We show that the polynomial ring R[x, y] over R in two commuting indeterminates x, y is Brown-McCoy radical.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-0337-6_11

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DOI: 10.1007/978-94-017-0337-6_11

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