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Sbornik: Mathematics, 1996, Volume 187, Issue 2, Pages 159–174
DOI: https://doi.org/10.1070/SM1996v187n02ABEH000106 (Mi sm106) 		 
On the completeness of topological rings in maximal topologies

V. I. Arnautov

Institute of Mathematics and Computer Science, Academy of Sciences of Moldova
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DOI: https://doi.org/10.1070/SM1996v187n02ABEH000106
Abstract: The article studies rings that are direct sums of an infinite family of subrings. The question of the completeness of these rings in maximal ring topologies is investigated for various classes of ring topologies. In particular it is shown that if the continuum hypothesis is assumed, then both complete and non-complete maximal ring topologies exist on a ring that is an infinite direct sum of copies of the same finite field.
Received: 25.01.1995
Russian version:
Matematicheskii Sbornik, 1996, Volume 187, Number 2, Pages 3–18
DOI: https://doi.org/10.4213/sm106
Bibliographic databases:
UDC: 512.56
MSC: Primary 16W80, 13J10; Secondary 54H13
Language: English
Original paper language: Russian
Citation: V. I. Arnautov, “On the completeness of topological rings in maximal topologies”, Mat. Sb., 187:2 (1996), 3–18; Sb. Math., 187:2 (1996), 159–174
Citation in format AMSBIB
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\issue 2
\pages 3--18
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    English version PDF:10
    References:44
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