McCoy Condition on Ideals of Coefficients (original) (raw)

We continue the study of McCoy condition to analyze zerodividing polynomials for the constant annihilators in the ideals generated by the coefficients. In the process we introduce the concept of ideal-π-McCoy rings, extending known results related to McCoy condition. It is shown that the class of ideal-π-McCoy rings contains both strongly McCoy rings whose non-regular polynomials are nilpotent and 2-primal rings. We also investigate relations between the ideal-π-McCoy property and other standard ring theoretic properties. Moreover we extend the class of ideal-π-McCoy rings by examining various sorts of ordinary ring extensions.