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- W3134748249 abstract "Let M be an R-module, where R be a commutative; ring with identity. In this paper, we defined a new kind of submodules, namely T-small quasi-Dedekind module(T-small Q-D-M) and essential T-small quasi-Dedekind module(ET-small Q-D-M). Let T be a proper submodule of an R-module M, M is called an (T-small Q-D-M) if, for all f ∊ End(M), f ≠ 0, implies Kerf is an T-small submodule of M (Kerf«TM), if T≠ 0 then T ⊈ Kerf. In case Kerf is an essential T-small submodule of M (Kerf <<ETM), Then M is called (ET-small Q-D-M). We illustrate them by some examples and discuss some of the basic properties of this types of modules and we present some relationships between this types of modules and other modules such as, T-hollow modules and T-generalized hopfian (T-gH ) modules." @default.
- W3134748249 created "2021-03-15" @default.
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- W3134748249 date "2021-02-01" @default.
- W3134748249 modified "2023-09-25" @default.
- W3134748249 title "Essential T-small quasi-Dedekind modules" @default.
- W3134748249 cites W3041514329 @default.
- W3134748249 doi "https://doi.org/10.1088/1742-6596/1804/1/012075" @default.
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