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…