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.
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© 2003 Springer Science+Business Media Dordrecht
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Smoktunowicz, A. (2003). R[x, y] is Brown-McCoy Radical if R[x] is Jacobson Radical. In: Proceedings of the Third International Algebra Conference. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0337-6_11
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DOI: https://doi.org/10.1007/978-94-017-0337-6_11
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6351-9
Online ISBN: 978-94-017-0337-6
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