Journal of East China Normal University(Natural Sc ›› 2015, Vol. 2015 ›› Issue (3): 67-79.doi: 10.3969/j.issn.1000-5641.2015.03.009

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Central McCoy rings

WANG Wen-kang   

  • Received:2014-04-17 Online:2015-05-25 Published:2015-05-28

Abstract: Central McCoy rings are a generalization of McCoy rings,and its properties were investigated. We showed that a ring R is central McCoy if and only if R[x] is central McCoy, and if and only if R[x] is central McCoy, where (xn) is theideal generated by xn and n is a positive integer. We get that for a right Ore ring R with Q its classical right quotient ring, if R is central McCoy, then Q is also centralMcCoy.

Key words: McCoy ring, central McCoy ring, central Armendarizring;upper triangular matrix ring

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