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- W2071106105 abstract "We carry out a study of modules M R satisfying the property that every module in σ[M] is a Kasch module. Such modules are called fully Kasch. Several sufficient conditions for a module to be fully Kasch are given which are also necessary in case the module satisfies a property (∗). We prove that if R is right Artinian, or right FBN, or Morita equivalent to a right duo ring, then every R-module satisfies the condition (∗). When R is Morita equivalent to a right duo ring, an R-module M is fully Kasch if and only if R/ ann R (mR) is a left perfect ring for any non-zero m ∈ M. These considerations tackle a question raised by Albu and Wisbauer." @default.
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- W2071106105 date "2010-12-01" @default.
- W2071106105 modified "2023-09-26" @default.
- W2071106105 title "Fully Kasch Modules and Rings" @default.
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- W2071106105 doi "https://doi.org/10.1142/s1005386710000593" @default.
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