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Mathematics of the USSR-Sbornik, 1988, Volume 61, Issue 1, Pages 259–270
DOI: https://doi.org/10.1070/SM1988v061n01ABEH003206 (Mi sm2558) 		 
Nonassociative topological bimodules

A. M. Slin'ko
English version PDF (768 kB)
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DOI: https://doi.org/10.1070/SM1988v061n01ABEH003206
Abstract: The local structure of locally compact bimodules over compact rings is studied. It is shown that topologically simple compact alternative, Jordan, and restricted Lie rings are finite. An example of a simple compact nondiscrete Lie ring is given. The quasiregular radical of an alternative or Jordan compact ring is characterized as the intersection of the kernels of all its locally compact topologically irreducible birepresentations.
Bibliography: 17 titles.
Received: 10.02.1986
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1987, Volume 133(175), Number 2(6), Pages 254–266
Bibliographic databases:
UDC: 512
MSC: Primary 46H25; Secondary 16A68, 16A80, 17D05, 17D10
Language: English
Original paper language: Russian
Citation: A. M. Slin'ko, “Nonassociative topological bimodules”, Mat. Sb. (N.S.), 133(175):2(6) (1987), 254–266; Math. USSR-Sb., 61:1 (1988), 259–270
Citation in format AMSBIB
\Bibitem{Sli87}
\by A.~M.~Slin'ko
\paper Nonassociative topological bimodules
\jour Mat. Sb. (N.S.)
\yr 1987
\vol 133(175)
\issue 2(6)
\pages 254--266
\mathnet{http://mi.mathnet.ru/sm2558}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=905009}
\zmath{https://zbmath.org/?q=an:0658.17024|0634.17013}
\transl
\jour Math. USSR-Sb.
\yr 1988
\vol 61
\issue 1
\pages 259--270
\crossref{https://doi.org/10.1070/SM1988v061n01ABEH003206}
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    References:53
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