P. A. Krylov, Y. I. Podberezina, “The group $\operatorname{Hom}(A,B)$ as an Artinian $\operatorname{E}(B)$- or $\operatorname{E}(A)$-module”, Fundam. Prikl. Mat., 2007, Volume 13, Issue 3,Pages 81

This article is cited in 3 papers

The group $\operatorname{Hom}(A,B)$ as an Artinian $\operatorname{E}(B)$- or $\operatorname{E}(A)$-module

P. A. Krylov^a, Y. I. Podberezina^b

^a Tomsk State University
^b Tomsk Polytechnic University

Abstract: The conditions of Artinianity of the homomorphism group $\operatorname{Hom}(A,B)$ as a module over the endomorphism ring of the Abelian group $B$ or $A$ are found.

UDC: 512.541+512.553

Received: 01.05.2006