中心McCoy环

Central McCoy rings

给出了中心McCoy环的性质.证明了:环R是中心McCoy环当且仅当R[x]是中心McCoy环当且仅当R[x]/(x^n)是中心McCoy环.设R是右Ore环,Q是它的右商环,如果R是中心McCoy环,那么Q是中心McCoy环。

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]/（x^n） is central McCoy,where（x^n） is the ideal generated by x^n 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 central McCoy.