Groups of Quotients of Semigroups of Invertible Nonnegative Matrices over Skewfields

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

doi:https://doi.org/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

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

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
Volume	233
Issue number	5
DOIs	https://doi.org/10.1007/s10958-018-3950-6
State	Published - 1 Sep 2018
Externally published	Yes

All Science Journal Classification (ASJC) codes

Applied Mathematics
Statistics and Probability
General Mathematics

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https://doi.org/10.1007/s10958-018-3950-6

Cite this

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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 quotients of the semigroup Gn(𝔻) coincides with the group GLn(𝔻) for n ≥ 3.",

author = "Bunina, {E. I.} and Mikhalev, {A. V.} and Nemiro, {V. V.}",

note = "Publisher Copyright: {\textcopyright} 2018, Springer Science+Business Media, LLC, part of Springer Nature.",

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AU - Bunina, E. I.

AU - Mikhalev, A. V.

AU - Nemiro, V. V.

PY - 2018/9/1

Y1 - 2018/9/1

N2 - 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.

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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U2 - https://doi.org/10.1007/s10958-018-3950-6

DO - https://doi.org/10.1007/s10958-018-3950-6

M3 - مقالة

SN - 1072-3374

VL - 233

SP - 640

EP - 645

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

IS - 5

ER -

Groups of Quotients of Semigroups of Invertible Nonnegative Matrices over Skewfields

Abstract

All Science Journal Classification (ASJC) codes

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