Strongly graded left FTF rings

Autores: José Gómez, Blas Torrecillas Jover
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 36, Nº 2, 1, 1992 (Ejemplar dedicado a: la memória de Pere Menal i Brufal), págs. 609-623
Idioma: inglés
DOI: 10.5565/publmat_362a92_21
Títulos paralelos:
- Anillos FTF por la izquierda fuertemente graduados
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Resumen
- An associated ring R with identity is said to be a left FTF ring when the class of the submodules of flat left R-modules is closed under injective hulls and direct products. We prove (Theorem 3.5) that a strongly graded ring R by a locally finite group G is FTF if and only if Re is left FTF, where e is a neutral element of G. This provides new examples of left FTF rings. Some consequences of this Theorem are given.