Strongly graded left FTF rings.

@article{Gómez1992,
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.},
author = {Gómez, José, Torrecillas, Blas},
journal = {Publicacions Matemàtiques},
keywords = {flat left -modules; direct products; injective hulls; regular rings; quasi-Frobenius rings; semiprime left and right Goldie rings; left IF rings; strongly graded by a locally finite group; hereditary torsion theories; left FTF rings},
language = {eng},
number = {2A},
pages = {609-623},
title = {Strongly graded left FTF rings.},
url = {http://eudml.org/doc/41739},
volume = {36},
year = {1992},
}

TY - JOUR
AU - Gómez, José
AU - Torrecillas, Blas
TI - Strongly graded left FTF rings.
JO - Publicacions Matemàtiques
PY - 1992
VL - 36
IS - 2A
SP - 609
EP - 623
AB - 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.
LA - eng
KW - flat left -modules; direct products; injective hulls; regular rings; quasi-Frobenius rings; semiprime left and right Goldie rings; left IF rings; strongly graded by a locally finite group; hereditary torsion theories; left FTF rings
UR - http://eudml.org/doc/41739
ER -