Resumen de On the Minimal Injective Cogenerator over Almost Perfect Domains

Luigi Salce

• Abstract. The minimal injective cogenerator E(R/P) of the category of R-modules and its endomorphism ring A are investigated, where R is an almost perfect local domain with maximal ideal P. It is shown that, when R is non-Noetherian and P2 is open in the Pr¿ufer topology of R, A strictly contains the completion bR of R in the Pr¿ufer topology, hence A is noncommutative.

  Some classes of local almost perfect domains satisfying the above conditions are discussed.