On the Minimal Injective Cogenerator over Almost Perfect Domains

• Autores: Luigi Salce
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 31, Nº 3, 2005, págs. 693-706
• Idioma: inglés
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• Resumen

  • 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.