La dimensión debil de los anillos clásicos
Gómez Pardo, José Luis (Universidad de Murcia. Departamento de Matemáticas)

Date:	1980
Abstract:	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.
Rights:	Tots els drets reservats.
Language:	Castellà
Document:	Article ; recerca ; Versió publicada
Published in:	Publicacions de la Secció de Matemàtiques, V. 20 (1980) p. 141-144, ISSN 0210-2978

Adreça alternativa: https://raco.cat/index.php/PublicacionsSeccioMatematiques/article/view/38242
DOI: 10.5565/PUBLMAT_20180_29

4 p, 95.3 KB

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