T-rings and quotient divisible groups of rank 1
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 4 (2013), pp. 50-53
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We prove that the class of quotient divisible groups of rank 1 coincides with the class of infinite $T$-rings.
Keywords:
$E$-ring, $T$-ring
Mots-clés : quotient divisible group.
Mots-clés : quotient divisible group.
@article{VTGU_2013_4_a5,
author = {A. V. Tsarev},
title = {T-rings and quotient divisible groups of rank~1},
journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
pages = {50--53},
year = {2013},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTGU_2013_4_a5/}
}
A. V. Tsarev. T-rings and quotient divisible groups of rank 1. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 4 (2013), pp. 50-53. http://geodesic.mathdoc.fr/item/VTGU_2013_4_a5/
[1] Fuks L., Beskonechnye abelevy gruppy, v. 1, Mir, M., 1974; т. 2, 1977
[2] Schultz P., “The endomorphism ring of the additive group of a ring”, J. Austral. Math. Soc., 15 (1973), 60–69 | DOI | MR | Zbl
[3] Bowshell R. A., Schultz P., “Unital rings whose additive endomorphisms commute”, Math. Ann., 228:3 (1977), 197–214 | DOI | MR | Zbl
[4] Beaumont R., Pierce R., “Torsion free rings”, Ill. J. Math., 5 (1961), 61–98 | MR | Zbl
[5] Fomin A. A., Wickless W., “Quotient divisible abelian groups”, Proc. Amer. Math. Soc., 126 (1998), 45–52 | DOI | MR | Zbl
[6] Davydova O. I., “Faktorno delimye abelevy gruppy ranga 1”, Fund. i prikl. matem., 13:3 (2007), 25–33