We investigate the structure of rings over which every finitely generated g- supplemented module is supplemented. Some characterizations of this type of rings are given. We establishe some properties of ⊙-δ-suppleme...We investigate the structure of rings over which every finitely generated g- supplemented module is supplemented. Some characterizations of this type of rings are given. We establishe some properties of ⊙-δ-supplemented modules. It is showed that for a ring R, finitely generated δ-supplemented R-modules are supplemented if and only if finitely generated ⊙-δ-supplemented R-modules are ⊙-supplemented.展开更多
Let τ be a torsion theory on R-rood and M be a left R-mod. In this paper the τ-cotorsionfree radical Cτ(M) of M is studied. When τ is stable, the construction and the supplementing radical of Cτ (M) are obtai...Let τ be a torsion theory on R-rood and M be a left R-mod. In this paper the τ-cotorsionfree radical Cτ(M) of M is studied. When τ is stable, the construction and the supplementing radical of Cτ (M) are obtained.展开更多
文摘We investigate the structure of rings over which every finitely generated g- supplemented module is supplemented. Some characterizations of this type of rings are given. We establishe some properties of ⊙-δ-supplemented modules. It is showed that for a ring R, finitely generated δ-supplemented R-modules are supplemented if and only if finitely generated ⊙-δ-supplemented R-modules are ⊙-supplemented.
文摘Let τ be a torsion theory on R-rood and M be a left R-mod. In this paper the τ-cotorsionfree radical Cτ(M) of M is studied. When τ is stable, the construction and the supplementing radical of Cτ (M) are obtained.
基金supported by the National Natural Science Foundation of China (10571026)the Cultivation Fund of the Key Scientific and Technical Innovation Project of Ministry of Education (China)the Specialized Research Fund for the Doctoral Program of Higher Education (20060286006)