Strongly FI-HOLLOW-LIFTING MODULES | ||
| basrah journal of science | ||
| Article 11, Volume 34, Issue 2, June 2016, Pages 105-112 PDF (0 K) | ||
| Authors | ||
| and Nedal Q. Saaduon; Saad A.ALsaadi | ||
| Abstract | ||
| In this paper, we introduce and study the concept of strongly FI-hollow-lifting modules. As proper stronger concept of FI-hollow-lifting modules which is a proper generalization of strongly lifting modules. We say that an R-module M called strongly FI- hollow-lifting module if every fully invariant submodule N of M with M/N is hollow there exists a fully invariant direct summand K of M such that K coessential submodule N in M. Many characterizations and properties of strongly FI-hollow-lifting modules are given and the relation between this type of module and some other known of modules are discussed. | ||
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