Groups of quotients of semigroups of invertible nonnegative matrices over skewfields

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

Groups of quotients of semigroups of invertible nonnegative matrices over skewfields

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

Department of Mathematics

Bar-Ilan University

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 Gn(D) coincides with the group GLn(D) for n ≥ 3.

Original language	English
Pages (from-to)	57-64
Number of pages	8
Journal	Fundamental and Applied Mathematics
Volume	21
Issue number	1
State	Published - 2016

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory
Geometry and Topology
Applied Mathematics

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.}",

year = "2016",

language = "الإنجليزيّة",

volume = "21",

pages = "57--64",

journal = "Fundamental and Applied Mathematics",

issn = "1560-5159",

publisher = "Moscow State University",

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AU - Bunina, E. I.

AU - Mikhalev, A. V.

AU - Nemiro, V. V.

PY - 2016

Y1 - 2016

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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M3 - مقالة

SN - 1560-5159

VL - 21

SP - 57

EP - 64

JO - Fundamental and Applied Mathematics

JF - Fundamental and Applied Mathematics

IS - 1

ER -

Groups of quotients of semigroups of invertible nonnegative matrices over skewfields

Abstract

All Science Journal Classification (ASJC) codes

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