The Group of Fractions of the Semigroup of Invertible Nonnegative Matrices of Order Three Over a Field

E. I. Bunina; V. V. Nemiro

doi:10.1007/s10958-015-2326-4

The Group of Fractions of the Semigroup of Invertible Nonnegative Matrices of Order Three Over a Field

E. I. Bunina
, V. V. Nemiro

Lomonosov Moscow State University

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

3 Scopus citations

Abstract

Let F be a linearly ordered field. Consider G_n(F), which is the subsemigroup of GL_n(F) consisting of all matrices with nonnegative coefficients. In 1940, A. I. Maltsev introduced the concept of the group of fractions for a semigroup. In the given paper, we prove that the group of fractions of G₃(F) coincides with GL₃(F).

Original language	English
Pages (from-to)	474-485
Number of pages	12
Journal	Journal of Mathematical Sciences (United States)
Volume	206
Issue number	5
DOIs	https://doi.org/10.1007/s10958-015-2326-4
State	Published - 1 May 2015
Externally published	Yes

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© 2015, Springer Science+Business Media New York.

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The Group of Fractions of the Semigroup of Invertible Nonnegative Matrices of Order Three Over a Field

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