Morphic Modules and the Ziegler Spectrum
CUNY Grad Center
We will review the definitions of morphic rings and modules, and prove a result concerning conditions equivalent to total uniform morphicity of a ring (all R-modules being morphic in a uniform way). We consider questions such as, which abelian groups are morphic, and when products of morphic modules are morphic. This will lead us to a discussion of the Ziegler spectrum, and its relation to morphicness.