Abstract
ABSTRACTLet M be a semiprime Goldie module which is projective in σ[M]. We give several decompositions of the M-injective hull of M in terms of its minimal prime submodules. Then, we use this to give a decomposition of the endomorphism ring of . 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 . 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.
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