This is a preview of subscription content, log in via an institution to check access.
Literature cited
A. P. Mishina and I. A. Skornyakov, Abelian Groups and Modules [in Russian], Nauka, Moscow (1969).
R. J. Nunke, “Purity and subfunctors of the identity,” in: Topics in Abelian Groups, Scott, Foresman, Chicago (1963), pp. 121–171.
A. I. Generalov, “Weak and ω-high purities in the category of modules,” Mat. Sb.,105, No. 3, 389–402 (1978).
A. I. Generalov, “On the definition of purity in the category of modules,” Mat. Zametki,11, No. 3, 375–380 (1972).
D. K. Harrison, J. M. Irwin, C. L. Peercy, and E. A. Walker, “High extensions of Abelian groups,” Acta Math. Acad. Sci. Hungar.,14, Nos. 3–4, 319–330 (1963).
L. Fuchs, Infinite Abelian Groups [Russian translation], Vol. 1, Mir, Moscow (1974).
R. J. Nunke, “Homology and direct sums of countable Abelian groups,” Math. Z.,101, 182–212 (1967).
J. M. Irwin, C. L. Walker, and E. A. Walker, “On pα-pure sequences of Abelian groups,” in: Topics in Abelian Groups, Scott, Foresman, Chicago (1963), pp. 69–119.
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 30, No. 2, pp. 171–178, August, 1981.
The author would like to thank A. P. Mishina for reading the manuscript of this paper and offering valuable comments and advice.
Rights and permissions
About this article
Cite this article
Ivanov, A.V. ω-High injective groups. Mathematical Notes of the Academy of Sciences of the USSR 30, 572–575 (1981). https://doi.org/10.1007/BF01708833
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01708833