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math.RA2017
On differential polynomial rings over locally nilpotent rings
Mikhail Chebotar
Let be a derivation of a locally nilpotent ring . Then the differential polynomial ring cannot be mapped onto a ring with a non-zero idempotent. This answers a rec…
math.RA2016★ 5 cited
On Polynomial Rings Over Nil Rings in Several Variables and the Central Closure of Prime Nil Rings
Mikhail Chebotar, Wen-Fong Ke, Pjek-Hwee Lee +1
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…