Resumen de On weakly reversible rings and strongly reversible rings

Liang Zhao, Zhu Xiaosheng

• Year: 2010 Vol.: 77 Fasc.: 3-4 Title: On weakly reversible rings and strongly reversible rings Author(s): Liang Zhao and Xiaosheng Zhu We introduce the notion of weakly reversible rings which is a generalization of reversible rings, and investigate its properties. We ¯rst give some examples of weakly reversible rings. We next argue about the weak reversibility of some kinds of polyno- mial rings. A number of properties of this generalization are established. Furthermore, we introduce the concepts of ®-strongly reversible rings and (®; ±)-strongly reversible rings to consider the strongly reversible property of an Ore extension R[x; ®; ±] of a ring R instead of the ring R[x].

  Address:

  Liang Zhao Department of Mathematics Nanjing University Nanjing, 210093 China Address:

  Xiaosheng Zhu Department of Mathematics Nanjing University Nanjing, 210093 China