On weakly reversible rings and strongly reversible rings

• Autores: Liang Zhao, Zhu Xiaosheng
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 77, Fasc. 3-4, 2010, págs. 369-382
• Idioma: inglés
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• Resumen

  • 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