RUS  ENG
Full version
JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2024 Number 10, Pages 90–97 (Mi ivm10028)

Abelian groups with solvable Lie endomorphism rings

A. R. Chekhlov

Regional Scientific and Educational Mathematical Center, Tomsk State University, 36 Lenin Ave., Tomsk, 634050 Russia

Abstract: A description has been obtained of all divisible, primary, as well as separable and algebraically compact torsion-free groups, the Lie endomorphism ring of which is solvable.

Keywords: commutator of endomorphisms, solvability of Lie endomorphism ring.

UDC: 512.541: 512.552

Received: 14.11.2023
Revised: 08.04.2024
Accepted: 26.06.2024

DOI: 10.26907/0021-3446-2024-10-90-97


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2024, 68:10, 78–84


© Steklov Math. Inst. of RAS, 2026