On differential polynomial rings over nil algebras

Mikhail Chebotar; Wen Fong Ke

doi:10.4171/RMI/1165

On differential polynomial rings over nil algebras

Mikhail Chebotar, Wen Fong Ke

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Let R be a nil algebra over a field of characteristic 0, and let δ be a derivation of R. Then the differential polynomial ring R[X, δ] cannot be mapped onto a unital simple ring homomorphically.

Original language	English
Pages (from-to)	1279-1288
Number of pages	10
Journal	Revista Matematica Iberoamericana
Volume	36
Issue number	5
DOIs	https://doi.org/10.4171/RMI/1165
Publication status	Published - 2020 Jan 7

All Science Journal Classification (ASJC) codes

General Mathematics

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10.4171/RMI/1165

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title = "On differential polynomial rings over nil algebras",

abstract = "Let R be a nil algebra over a field of characteristic 0, and let δ be a derivation of R. Then the differential polynomial ring R[X, δ] cannot be mapped onto a unital simple ring homomorphically.",

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N2 - Let R be a nil algebra over a field of characteristic 0, and let δ be a derivation of R. Then the differential polynomial ring R[X, δ] cannot be mapped onto a unital simple ring homomorphically.

AB - Let R be a nil algebra over a field of characteristic 0, and let δ be a derivation of R. Then the differential polynomial ring R[X, δ] cannot be mapped onto a unital simple ring homomorphically.

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On differential polynomial rings over nil algebras

Abstract

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