J4 ›› 2013, Vol. 48 ›› Issue (12): 6-13.

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On central linear McCoy rings

WANG Wen-kang   

  1. School of Mathematics and Computer Science, Northwest University for Nationalities,
    Lanzhou 730124, Gansu, China
  • Received:2013-02-06 Online:2013-12-20 Published:2014-01-09

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Abstract:

Central linear McCoy rings are a generalization of linear McCoy rings. It is proved that R is right central linear McCoy if and only if R［x］is right central linear McCoy. If R is right Ore, Q is the classical right quotient ring of R, and R is right central linear McCoy, then Q is right central linear McCoy. Several right central linear McCoy subrings of upper triangular matrix rings over right central linear McCoy rings are given.

Key words: linear McCoy ring; central linear McCoy ring; McCoy ring; upper triangular matrix ring

CLC Number: 

  • O153.3
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