2010/09/30 by A. Ghorbani
Mathematics · #Rings, Modules, and Algebras #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications
paper · doi:10.1080/00927870903200901
A module M is called co-epi-retractable if it contains a copy of each of its factor modules. It is proved that a ring R is co-pri (i.e., R R is co-epi-retractable) and reduced if and only if R is a finite product of division rings. We show that a commutative ring is co-pri if and only if it is a finite product of special rings. Duality-like connections are established for epi-retractable and co-epi-retractable modules. It is shown that if R is a pli ring and R R is self-cogenerator, then R is co-pri.