Groups of quotients of semigroups of invertible nonnegative matrices over skewfields

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

doi:10.1134/s1064562417010057

Groups of quotients of semigroups of invertible nonnegative matrices over skewfields

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

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

Abstract

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

Original language	English
Pages (from-to)	12-14
Number of pages	3
Journal	Doklady Mathematics
Volume	95
Issue number	1
DOIs	https://doi.org/10.1134/s1064562417010057
State	Published - 1 Jan 2017
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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title = "Groups of quotients of semigroups of invertible nonnegative matrices over skewfields",

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

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AU - Mikhalev, A. V.

AU - Nemiro, V. V.

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N2 - In this paper we prove that for a linearly ordered skewfield the groups of quitients of the semigroup Gn(D) coincides with the group GLn(D) for n ≥ 3.

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

UR - https://www.scopus.com/pages/publications/85018526615

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DO - 10.1134/s1064562417010057

M3 - Article

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VL - 95

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EP - 14

JO - Doklady Mathematics

JF - Doklady Mathematics

IS - 1

ER -

Groups of quotients of semigroups of invertible nonnegative matrices over skewfields

Abstract

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