McCoy condition on ideals of coefficients
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We continue the study of McCoy condition to analyze zero- dividing 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.
Abstract
We continue the study of McCoy condition to analyze zero- dividing 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.
참고문헌 (24)
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