FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 2, PAGES 97-106

$\$\backslash mathcal\; E\$$-closed groups and modules

A. V. Grishin
A. V. Tsarev

Abstract

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The paper discusses Abelian groups (modules) isomorphic to their endomorphism groups (modules). A necessary and sufficient condition is given according to which the commutativity of the endomorphism ring of a group $G$ follows from the isomorphism $G$@ End G.

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Last modified: March 6, 2012