Revista Matemática Iberoamericana
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On differential polynomial rings over nil algebrasMikhail Chebotar and Wen-Fong Ke (1) Kent State University, USA
(2) National Cheng Kung University, Tainan, Taiwan
Let $R$ be a nil algebra over a field of characteristic 0, and let $\delta$ be a derivation of $R$. Then the differential polynomial ring $R[X, \delta]$ cannot be mapped onto a unital simple ring homomorphically.
Keywords: Differential polynomial ring, nil ring
Chebotar Mikhail, Ke Wen-Fong: On differential polynomial rings over nil algebras. Rev. Mat. Iberoam. Electronically published on January 7, 2020. doi: 10.4171/rmi/1165 (to appear in print)