A NOTE ON SKEW ARMENDARIZ RINGS

ABSTRACT

In this note,we answer a question of Hong et al. (2003) by proving that if α is a monomorphism of a reduced ring R, and R is α-skew Armendariz, then R is α-rigid.

Key Words:

• Reduced rings
• α-Rigid rings
• Skew Armendariz rings

Mathematical Subject Classification:

• Primary 16N60
• 16P60

ACKNOWLEDGMENTS

The authors express their gratitude to the referee for his or her careful reading and helpful comments, which improved the preparation of this paper. This work was supported by the Doctorate Foundation of China Education Ministry (Grant No. 20020284009).

Notes

^#Communicated by A. Facchini.