A module M is called lifting if every submodule A of M contains a direct summand B of M such that Bce,→ A in M. We call M is (strongly) FIlifting if every fully invariant submodule A of M contains a (fully invariant) direct summand B of M such that Bce,→ A in M. The class of FI-lifting modules properly contains the class of lifting modules and the class of strongly FI-lifting modules. But a strongly FI-lifting module need not be a lifting module and vice versa. In this paper we investigate whether the class of (strongly) FI-lifting modules are closed under particular class of submodules, direct summands and direct sums.
Diğer ID | JA54KJ25JS |
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Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 1 Haziran 2008 |
Yayımlandığı Sayı | Yıl 2008 Cilt: 3 Sayı: 3 |