2016/01/13 by Pérez, Jaime Castro, Bárcenas, Mauricio Medina, Zaldívar, Angel +1
#FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.1601.03444
Given a semiprime Goldie module M projective in σ[M] we study decompositions on its M-injective hull M in terms of the minimal prime in M submodules. With this, we characterize the semiprime Goldie modules in ℤ-Mod and make a decomposition of the endomorphism ring of M. Also, we investigate the relations among semiprime Goldie modules, QI-modules and co-semisimple modules extending results on left QI-rings and V-rings.