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Literature cited
D. B. Shakhmatov, “The structure of topological fields and cardinal invariants,” Trudy Moskov. Mat. Obshch.,50, 249–259 (1987).
S. M. Sirota, “Product of topological groups and extremal disconnectedness,” Mat. Sb.,79, No. 2, 179–192 (1969).
V. I. Malykhin and L. B. Shapiro, “On pseudocompact groups without convergent sequences,” Mat, Zametki,37, No. 1, 103–109 (1985).
V. I. Arnautov, “On topologizations of countable rings,” Sib. Mat. Zh.,9, No. 6, 1251–1262 (1968).
E. I. Marin, Economical complete topologies on countable torsion-free Abelian groups. Manuscript deposited at VINITI, No. 281-B86 (1986).
V. I. Arnautov, M. I. Vodinchar, and A. V. Mikhalev, Introduction to the Theory of Topological Rings and Modules [in Russian], Shtiintsa, Kishinev (1981).
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Translated from Matematicheskii Zametki, Vol. 52, No. 2, pp. 62–65, August, 1992.
In conclusion, I wish to express my gratitude to M. I. Ursul for useful discussions and interest in this paper.
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Kabanova, E.I. On countable nondiscrete fields without nontrivial convergent sequences. Math Notes 52, 798–801 (1992). https://doi.org/10.1007/BF01236775
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DOI: https://doi.org/10.1007/BF01236775