Original Articles

A Characterization of Tensor—Induced Preradicals in Abelian Groups

Published in: Quaestiones Mathematicae
Volume 5 , issue 4 , 1983 , pages: 347–356

DOI: 10.1080/16073606.1983.9632277

Author(s): TempleH. Fay Department of Mathematics, , EdwinP. Oxford Department of Mathematics, , GaryL. Walls Department of Mathematics,

Keywords: 20K12 , 20K27 , 20K40 , 20K12 , 20K27 , 20K40

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Abstract

Let G be an abelian group and g ε G; for an abelian group A, define TA = {a ε A: g⊗a=0 in G⊗A}. T is called the tensor-induced preradical determined by the pair (G,g). In this work a complete description of T is given in terms of the order of g and its finitary Ulm-sequence.

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