Property: (right/left) McCoy

Definition: (right McCoy) A ring $R$ is called right McCoy if when $f,g\in R[x]$ satisfy $fg=0$, then there exists a nonzero $r\in R$ such that $fr=0$.

Resources for learning about this property:

  • M. B. Rege, S. Chhawchharia, and others. Armendariz rings. (1997) @ .
  • V. Camillo and P. P. Nielsen. McCoy rings and zero-divisors. (2008) @ (page needed)


This property has the following metaproperties
  • stable under products
  • stable under finite products
This property does not have the following metaproperties