P. A. Krylov, A. A. Tuganbaev, A. V. Tsarev, “Around Baer–Kaplansky theorem”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2019, Volume 159,Pages <nobr>46

This article is cited in 3 papers

Around Baer–Kaplansky theorem

P. A. Krylov^a, A. A. Tuganbaev^bc, A. V. Tsarev^d

^a National Research Tomsk State University
^b National Research University "Moscow Power Engineering Institute"
^c Lomonosov Moscow State University
^d Moscow State Pedagogical University

Abstract: Using the example of modules and a number of familiar Abelian groups, we demonstrate the Kaplansky method of proving isomorphism theorems for endomorphism rings.

Keywords: Abelian group, endomorphism ring, isomorphism theorem for endomorphism rings, Baer–Kaplansky theorem, Kaplansky method.

UDC: 512.54116D10, 16D70, 20K30