Abstract
In the class of 0-dimensional groups with infinite weight, the universal group is constructed. We prove that a 0-dimensional group can be imbedded into a multiplicative subgroup of a topological ring.
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References
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 11, pp. 1594–1596, November, 1994.
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Protasov, I.V. Two theorems on imbeddings of 0-dimensional groups. Ukr Math J 46, 1767–1770 (1994). https://doi.org/10.1007/BF01058898
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DOI: https://doi.org/10.1007/BF01058898