On polynomial rings over nil rings in several variables and the central closure of prime nil rings

M. Chebotar; W. F. Ke; P. H. Lee; E. R. Puczyłowski

doi:10.1007/s11856-017-1616-6

On polynomial rings over nil rings in several variables and the central closure of prime nil rings

M. Chebotar, W. F. Ke, P. H. Lee, E. R. Puczyłowski

數學系

研究成果: Article › 同行評審

5 引文斯高帕斯（Scopus）

摘要

We prove that the ring of polynomials in several commuting indeterminates over a nil ring cannot be homomorphically mapped onto a ring with identity, i.e. it is Brown-McCoy radical. It answers a question posed by Puczyłowski and Smoktunowicz. We also show that the central closure of a prime nil ring cannot be a simple ring with identity, solving a problem due to Beidar.

原文	English
頁（從 - 到）	309-322
頁數	14
期刊	Israel Journal of Mathematics
卷	223
發行號	1
DOIs	https://doi.org/10.1007/s11856-017-1616-6
出版狀態	Published - 2018 2月 1

All Science Journal Classification (ASJC) codes

一般數學

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10.1007/s11856-017-1616-6

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On polynomial rings over nil rings in several variables and the central closure of prime nil rings

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