This article is cited in 9 papers

$T$-radicals and $E$-radicals in the category of modules

E. A. Timoshenko

Tomsk State University

Abstract: We introduce two classes of radicals by means of tensor product of modules and module homomorphisms and prove some properties of these radicals and their connection with attracting modules.

Keywords: module, radical, tensor product, homomorphism, torsion, cotorsion.

UDC: 512.553

Received: 05.03.2003

 English version: Siberian Mathematical Journal, 2004, 45:1, 165–172

Bibliographic databases:

• 
• 
•