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Some Results on Injective Modules Over a Ring of Krull Type

ABSTRACT In this article, we study injective modules over a ring of Krull type A. Our main result is E(K/A)≃ ⨁ω∈Ω t E(K/ℜω), where Ω t is a thin defining family of valuations of A. We also characterize the rings of Krull type A such that TE(K/A) is a cogenerator of the quotient category Mod(A)/ℳ0, where ℳ0 is the thick subcategory of the modules with trivial maps into the codivisorial modules.