Pure projective modules and FP-injective modules over Morita rings

摘要

Let Λ _(0,0)= (A/_BM_A _AN_B/B)be a Morita ring, where the bimodule homomorphisms Φ and ψ are zero. We study the finite presentedness, locally coherence, pure projectivity, pure injectivity, and FP-injectivity of modules over Λ _(0,0). Some applications are then given.