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http://dx.doi.org/10.4134/BKMS.2013.50.6.1887

MCCOY CONDITION ON IDEALS OF COEFFICIENTS  

Cheon, Jeoung Soo (Department of Mathematics Pusan National University)
Huh, Chan (Department of Mathematics Pusan National University)
Kwak, Tai Keun (Department of Mathematics Daejin University)
Lee, Yang (Department of Mathematics Education Pusan National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.6, 2013 , pp. 1887-1903 More about this Journal
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-${\pi}$-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.
Keywords
ideal-${\pi}$-McCoy ring; strongly McCoy ring; ${\pi}$-McCoy ring; poly-nomial ring; matrix ring; the classical right quotient ring;
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Times Cited By KSCI : 3  (Citation Analysis)
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