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- W4376280037 abstract "Abstract Let R be a ring and M be an R -module. M is called ⊕ ss -supplemented if every submodule of M has a ss-supplement that is a direct summand of M. In this paper, the basic properties and characterizations of ⊕ ss -supplemented modules are provided. In particular, it is shown that (1) if a module M is ⊕ ss -supplemented, then Rad ( M ) is semisimple and Soc ( M ) ⊴ M , (2) every direct sum of ss-lifting modules is ⊕ ss -supplemented; (3) a commutative ring R is an artinian serial ring with semisimple radical if and only if every left R -module is ⊕ ss -supplemented. MSC Classification: 16D10 , 16D60 , 16D99" @default.
- W4376280037 created "2023-05-13" @default.
- W4376280037 creator A5014732009 @default.
- W4376280037 date "2023-05-12" @default.
- W4376280037 modified "2023-09-28" @default.
- W4376280037 title "On a variation of ⊕-supplemented modules" @default.
- W4376280037 doi "https://doi.org/10.21203/rs.3.rs-2898299/v1" @default.
- W4376280037 hasPublicationYear "2023" @default.
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