Strongly graded left FTF rings

  1. Gómez, José
  2. Torrecillas Jover, Blas
Journal:
Publicacions matematiques

ISSN: 0214-1493

Year of publication: 1992

Issue Title: la memória de Pere Menal i Brufal

Volume: 36

Issue: 2

Pages: 609-623

Type: Article

DOI: 10.5565/PUBLMAT_362A92_21 DIALNET GOOGLE SCHOLAR lock_openDDD editor

More publications in: Publicacions matematiques

Abstract

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.

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