The Group of Fractions of the Semigroup of Invertible Nonnegative Matrices of Order Three Over a Field
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2326-4 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2326-4 | ||
| 245 | 0 | 4 | |a The Group of Fractions of the Semigroup of Invertible Nonnegative Matrices of Order Three Over a Field |h [Elektronische Daten] |c [E. Bunina, V. Nemiro] |
| 520 | 3 | |a Let F $$ \mathbb{F} $$ be a linearly ordered field. Consider G n ( F $$ \mathbb{F} $$ ), which is the subsemigroup of GL n ( F $$ \mathbb{F} $$ ) 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 $$ \mathbb{F} $$ ) coincides with GL3( F $$ \mathbb{F} $$ ). | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 700 | 1 | |a Bunina |D E. |u Moscow State University, Moscow, Russia |4 aut | |
| 700 | 1 | |a Nemiro |D V. |u Moscow State University, Moscow, Russia |4 aut | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 206/5(2015-05-01), 474-485 |x 1072-3374 |q 206:5<474 |1 2015 |2 206 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2326-4 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2326-4 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Bunina |D E. |u Moscow State University, Moscow, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Nemiro |D V. |u Moscow State University, Moscow, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 206/5(2015-05-01), 474-485 |x 1072-3374 |q 206:5<474 |1 2015 |2 206 |o 10958 | ||