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- W2963676802 abstract "Let M be a semiprime Goldie module which is projective in σ[M]. We give several decompositions of the M-injective hull M̂ of M in terms of its minimal prime submodules. Then, we use this to give a decomposition of the endomorphism ring of M̂. We also show that the set of minimal primes of M is in bijective correspondence with the set of isomorphism classes of simple modules over EndR(M̂). We also investigate the relationships between semiprime Goldie modules, QI-modules and co-semisimple modules. As an application we extend certain results on left QI-rings and V-rings." @default.
- W2963676802 created "2019-07-30" @default.
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- W2963676802 date "2017-12-15" @default.
- W2963676802 modified "2023-10-01" @default.
- W2963676802 title "On the structure of Goldie modules" @default.
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- W2963676802 doi "https://doi.org/10.1080/00927872.2017.1404078" @default.
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