We continue the study of McCoy condition to analyze zero-dividing polynomials for the constant annihilatorsin the ideals generated by the coefficients. In the process we introduce the concept of ideal-$pi$-McCoy rings, extending known results related to McCoy condition. It is shown that the class of ideal-$pi$-McCoy rings contains both strongly McCoy rings whose non-regular polynomials are nilpotent and 2-primal rings. We also investigate relations between the ideal-$pi$-McCoy property and other standard ring theoretic properties. Moreover we extend the class of ideal-$pi$-McCoy rings by examining various sorts of ordinary ring extensions.
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机译：我们继续研究McCoy条件，以在系数所产生的理想状态下分析零除多项式的常数zero灭子。在此过程中，我们引入了理想-$ pi $ -McCoy环的概念，扩展了与McCoy条件有关的已知结果。结果表明，理想-$ pi $ -McCoy环既包含强McCoy环，其非正规多项式为幂零环，也包含2-primal环。我们还研究了理想-$ pi $ -McCoy属性与其他标准环理论属性之间的关系。此外，我们通过研究各种普通的环扩展来扩展理想-$ pi $ -McCoy环的类。
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