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- W2141539158 abstract "The purpose of this paper is to further study the concept of a very important module theory namely principally supplemented modules. Therefore, our work presents some properties of the relation between lifting property and principally supplemented module. Also we will focus on quasi-discrete module to study principally supplemented in general way. We prove that if R be principal ideal ring and if M be indecomposable R-module such that it has no maximal submodules (Rad(M) = M) then M is principally supplemented module. Also we prove that if M is indecomposable and local module then it is principally supplemented. Every projective module is self-projective therefore we prove that if M projective and supplemented module then M is principally supplemented. Key words: Principally supplemented, P-hollow module, f-lifting module, quasi-discrete module." @default.
- W2141539158 created "2016-06-24" @default.
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- W2141539158 date "2013-05-23" @default.
- W2141539158 modified "2023-10-17" @default.
- W2141539158 title "Principally supplemented module and lifting property" @default.
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- W2141539158 doi "https://doi.org/10.5897/ijps2013.3856" @default.
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