On Cofinitely Lifting and Cofinitely Weak Lifting Modules |
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| Authors: | Rachid Tribak |
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| Institution: | 1. Department of Mathematics, Faculty of Sciences of Tétouan , Abdelmalek Essaadi University , Tétouan, Morocco tribak12@yahoo.com |
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| Abstract: | We say that a module M is lifting if M is amply supplemented and every supplement submodule of M is a direct summand. The module M is called cofinitely lifting if it is amply cofinitely supplemented and every supplement of any cofinite submodule of M is a direct summand. In this article various properties of cofinitely lifting modules are given. In addition, a generalization of cofinitely lifting modules is investigated. |
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| Keywords: | Cofinitely lifting module Cofinitely weak lifting module Lifting module Local module Weak lifting module |
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