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Sbornik: Mathematics, 2020, Volume 211, Issue 9, Pages 1213–1232
DOI: https://doi.org/10.1070/SM9286 (Mi sm9286) 		 
Stable decomposability of matrices over the rational closure of a group algebra of an ordered group

N. I. Dubrovin

Vladimir State University, Vladimir, Russia
English version PDF (526 kB) Russian version article
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DOI: https://doi.org/10.1070/SM9286
Abstract: Under the assumption that the rational closure of a group algebra of a left-ordered group in the ring of operators of the module of formal Malcev series is a division ring, we find a canonical form of nonsingular matrices of this division ring.
Bibliography: 10 titles.
Keywords: right-ordered groups, division ring of fractions, formal series.
Received: 02.06.2019 and 16.05.2020
Bibliographic databases:
Document Type: Article
UDC: 512.552+512.555
MSC: Primary 20C07; Secondary 06F15, 16K40, 16W60
Language: English
Original paper language: Russian
Citation: N. I. Dubrovin, “Stable decomposability of matrices over the rational closure of a group algebra of an ordered group”, Sb. Math., 211:9 (2020), 1213–1232
Citation in format AMSBIB
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\paper Stable decomposability of matrices over the rational closure of a~group algebra of an ordered group
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\vol 211
\issue 9
\pages 1213--1232
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