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- W2023163210 abstract "Let R be a commutative ring with identity. An R-module M is said to be a comultiplication module if for every submodule N of M, there exists an ideal I of R such that N=(0: M I). In this paper, we show: (1) If M is a comultiplication module and N is a copure submodule of M, then M/N is a comultiplication module. (2) If M is a comultiplication module satisfying the DAC and N ≤ M, then N ≤ e M if and only if there exists I ≪ R such that N=(0: M I). (3) If M is a comultiplication module satisfying the DAC, then M is finitely cogenerated. Finally, we give a partial answer to a question posed by Ansari-Toroghy and Farshadifar." @default.
- W2023163210 created "2016-06-24" @default.
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- W2023163210 date "2014-01-20" @default.
- W2023163210 modified "2023-09-27" @default.
- W2023163210 title "A Note on Comultiplication Modules" @default.
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- W2023163210 doi "https://doi.org/10.1142/s1005386714000108" @default.
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