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STRONGLY FI-LIFTING MODULES

Year 2008, Volume: 3 Issue: 3, 75 - 82, 01.06.2008

Y. Talebi T. Amoozegar

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 (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.

Keywords

supplemented modules lifting modules FI-lifting modules

Year 2008, Volume: 3 Issue: 3, 75 - 82, 01.06.2008

Y. Talebi T. Amoozegar

Abstract

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Details

Other ID JA54KJ25JS
Journal Section Articles
Authors

Y. Talebi This is me

T. Amoozegar This is me

Publication Date June 1, 2008
Published in Issue Year 2008 Volume: 3 Issue: 3

Cite

APA Talebi, Y., & Amoozegar, T. (2008). STRONGLY FI-LIFTING MODULES. International Electronic Journal of Algebra, 3(3), 75-82.
AMA Talebi Y, Amoozegar T. STRONGLY FI-LIFTING MODULES. IEJA. June 2008;3(3):75-82.
Chicago Talebi, Y., and T. Amoozegar. “STRONGLY FI-LIFTING MODULES”. International Electronic Journal of Algebra 3, no. 3 (June 2008): 75-82.
EndNote Talebi Y, Amoozegar T (June 1, 2008) STRONGLY FI-LIFTING MODULES. International Electronic Journal of Algebra 3 3 75–82.
IEEE Y. Talebi and T. Amoozegar, “STRONGLY FI-LIFTING MODULES”, IEJA, vol. 3, no. 3, pp. 75–82, 2008.
ISNAD Talebi, Y. - Amoozegar, T. “STRONGLY FI-LIFTING MODULES”. International Electronic Journal of Algebra 3/3 (June 2008), 75-82.
JAMA Talebi Y, Amoozegar T. STRONGLY FI-LIFTING MODULES. IEJA. 2008;3:75–82.
MLA Talebi, Y. and T. Amoozegar. “STRONGLY FI-LIFTING MODULES”. International Electronic Journal of Algebra, vol. 3, no. 3, 2008, pp. 75-82.
Vancouver Talebi Y, Amoozegar T. STRONGLY FI-LIFTING MODULES. IEJA. 2008;3(3):75-82.