# 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)

## Metaproperties:

This property has the following metaproperties

- stable under products
- stable under finite products

This property

**does not** have the following metaproperties