# Strongly graded left FTF rings.

Publicacions Matemàtiques (1992)

- Volume: 36, Issue: 2A, page 609-623
- ISSN: 0214-1493

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topGómez, José, and Torrecillas, Blas. "Strongly graded left FTF rings.." Publicacions Matemàtiques 36.2A (1992): 609-623. <http://eudml.org/doc/41739>.

@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 -

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