Polynomial Rings Over Commutative Reduced Hopfian Local Rings

Alpesh M. Dhorajia, Himadri Mukherjee

In this paper we prove that if $R$ is a commutative, reduced, local ring, then $R$ is Hopfian if and only if the ring $R[x]$ is Hopfian. This answers a question of Varadarajan, in…