This article is cited in 4 papers

T-radicals in the category of Abelian groups

E. A. Timoshenko

Tomsk State University

Abstract: 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.

UDC: 512.541+512.553.12

Received: 01.05.2006

 English version: Journal of Mathematical Sciences (New York), 2008, 154:3, 411–421

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