Abstract
A description is given of those Abelian groups in which all ɛ-pure subgroups are m-complemented.
Literature cited
M. V. Tsybanev, “On completely M(m)-factorable Abelian groups,” Ukr. Mat. Zh.,23, No. 5, 699–706 (1971).
V. S. Rokhlina, “On ɛ-purity in Abelian groups,” Sib. Mat. Zh.,11, No. 1, 161–167 (1970).
S. N. Chernikov, “Groups with systems of complemented subgroups,” Mat. Sb.,35, No. 1, 93–128 (1954).
H. Prüfer, “Untersuchungen über die Zerlegbarkeit der abzählbaren primären Abelschen Gruppen,” Math. Z.,17, 35–61 (1923).
M. V. Tsybanev, “On an Abelian normal subgroup of a group in which all subgroups are mcomplemented,” Algebra Logika,13, No. 1, 77–87 (1974).
A. N. Tuzov, “On Abelian groups whose weakly serving subgroups are m-complemented,” in: XIX All-Union Algebra Conference, Lvov, Sept. 9–11, 1987, Abstracts of Reports, Part 2, Institute of Applied Problems of Mechanics and Mathematics, Academy of Sciences of the UkrSSR (1987), p. 283.
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 1, pp. 135–139, January, 1990.
Rights and permissions
About this article
Cite this article
Tuzov, A.N. Abelian groups whose ɛ-pure subgroups are m-complemented. Ukr Math J 42, 122–125 (1990). https://doi.org/10.1007/BF01066376
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01066376