STRONGLY FI-LIFTING MODULES

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International Electronic Journal of Algebra
Volume:3 Issue:3
STRONGLY FI-LIFTING MODULES

STRONGLY FI-LIFTING MODULES

Authors : Y TALEBİ, T AMOOZEGAR

Pages : 75-82

View : 16 | Download : 12

Publication Date : 2008-06-01

Article Type : Research Paper

Abstract :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 insert ignore into journalissuearticles values(strongly); FIlifting if every fully invariant submodule A of M contains a insert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(strongly); FI-lifting modules are closed under particular class of submodules, direct summands and direct sums.
Keywords : supplemented modules, lifting modules, FI lifting modules

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