Groups of Quotients of Semigroups of Invertible Nonnegative Matrices over Skewfields

E. I. Bunina; A. V. Mikhalev; V. V. Nemiro

doi:10.1007/s10958-018-3950-6

Groups of Quotients of Semigroups of Invertible Nonnegative Matrices over Skewfields

E. I. Bunina
, A. V. Mikhalev
, V. V. Nemiro

Lomonosov Moscow State University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this paper, we prove that for a linearly ordered skewfield the groups of quotients of the semigroup G_n(𝔻) coincides with the group GL_n(𝔻) for n ≥ 3.

Original language	English
Pages (from-to)	640-645
Number of pages	6
Journal	Journal of Mathematical Sciences (United States)
Volume	233
Issue number	5
DOIs	https://doi.org/10.1007/s10958-018-3950-6
State	Published - 1 Sep 2018
Externally published	Yes

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Publisher Copyright:
© 2018, Springer Science+Business Media, LLC, part of Springer Nature.

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AB - In this paper, we prove that for a linearly ordered skewfield the groups of quotients of the semigroup Gn(𝔻) coincides with the group GLn(𝔻) for n ≥ 3.

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Groups of Quotients of Semigroups of Invertible Nonnegative Matrices over Skewfields

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