FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2007, VOLUME 13, NUMBER 3, PAGES 193-208

T-radicals in the category of Abelian groups

E. A. Timoshenko

Abstract

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This paper is devoted to the class of idempotent radicals defined by means of a tensor product. We describe their effect on Abelian groups. The structure of the lattice of all such radicals is determined. We characterize these radicals in terms of the closure properties of their radical classes.

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Last modified: June 19, 2007