Algebraically compact abelian TI-groups
https://doi.org/10.22405/2226-8383-2019-20-1-202-211
Abstract
An abelian group G is called a TI-group if every associative ring with additive group G is filial. An abelian group G such that every (associative) ring with additive group G is an SI-ring (a hamiltonian ring) is called an SI-group (an $$SI_H$$-group). In this paper, TI-groups, as well as SI-groups and $$SI_H$$-groups are described in the class of reduced algebraically compact abelian groups.
About the Authors
Ekaterina Igorevna KompantsevaRussian Federation
doctor of engineering, professor, Professor, Department of algebra, Moscow state pedagogical University; Professor of the Department of probability theory and mathematical statistics, Financial University under the Government of the Russian Federation, Moscow.
T. Q. T. Nguyen
Moscow state pedagogical University, Moscow
Russian Federation
postgraduate student
Russian Federation
postgraduate student
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Review
For citations:
Kompantseva E.I., Nguyen T. Algebraically compact abelian TI-groups. Chebyshevskii Sbornik. 2019;20(1):202-211. (In Russ.) https://doi.org/10.22405/2226-8383-2019-20-1-202-211
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