abstract
- © 2018 Taylor & Francis. Let M be a semiprime Goldie module which is projective in ¿[M]. We give several decompositions of the M-injective hull (Formula presented.) of M in terms of its minimal prime submodules. Then, we use this to give a decomposition of the endomorphism ring of (Formula presented.). 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 (Formula presented.). 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.