La dimensión debil de los anillos clásicos

• Gómez Pardo, José Luis ^[1]
  1. [1] Universidad de Murcia

     Universidad de Murcia

     Murcia, España

     
• Localización: Publicacions matematiques, ISSN 0214-1493, Nº 20, 1980, págs. 141-144
• Idioma: español
• DOI: 10.5565/publmat_20180_29
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• Resumen

  • "The weak dimension of a ring R, wD(R), is shown to be equal to the supremum of the injective dimensions of the pure-injective left R-modules . Using this result and the structure theorem for pure-injectives over commutative rings ([2]), the weak . dimension of a (commutative) classical ring ([91) is characterized as the supremum of the injective dimensions of the cocyclic modules . Characterizations of the classical rings R for which wD(R),<1 are given and it is also shown that, for certain classical rings R, wD(R) is the supremum of the injective dimensions of the simple modules. "