Journal of the Faculty of Liberal Arts, Yamaguchi University

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Journal of the Faculty of Liberal Arts, Yamaguchi University Volume 11
published_at 1977-10

Uniform Modules and Radicals in a Torsion Theory

Uniform Modules and Radicals in a Torsion Theory
Katayama Hisao
About This Article
Descriptions
Let R be a ring and бa torsion functor for R-mod. A module RM is called б-uniform if M is uniform and M/N ∈ T(б) for all nonzero submobules N of M. The б-radical of a Module RM, denoted by K_б(M) is the intersection of all submodules N such that M/N is б-
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