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- W3194170431 abstract "Relative extending modules and relative (quasi-)continuous modules were introduced and studied by Oshiro as a generalizations of extending modules and (quasi-) continuous respectively. On other hand, Oshiro, Rizvi and Permouth introduced N-extending and N-(quasi-) continuous modules depending where N and M are modules. is closed under submodules, essential extension and isomorphic image. A module M is N-extending if for each submodule A , there is a direct summand B of M such that A is essential in B. Moreover, a module M is strongly extending if every submodule is essential in a stable (equivalently, fully invariant) direct summand of M. In this paper, we introduce and study classes of modules which are proper stronger than that of N-extending modules and N-(quasi-)continuous modules. Many characterizations and properties of these classes are given." @default.
- W3194170431 created "2021-08-30" @default.
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- W3194170431 date "2021-08-15" @default.
- W3194170431 modified "2023-09-23" @default.
- W3194170431 title "strongly N-extending Strongly N-extending Modules" @default.
- W3194170431 cites W1520501011 @default.
- W3194170431 doi "https://doi.org/10.29350/qjps.2021.26.4.1350" @default.
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