Abstract
We characterize linear transformations on matrices over commutative antinegative semirings that are monotone with respect to minus, star, and sharp partial orders.
| Original language | English |
|---|---|
| Pages (from-to) | 675-686 |
| Number of pages | 12 |
| Journal | Journal of Mathematical Sciences |
| Volume | 233 |
| Issue number | 5 |
| DOIs | |
| State | Published - 1 Sep 2018 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2018, Springer Science+Business Media, LLC, part of Springer Nature.
Funding
This research was supported by the grants from the National Natural Science Foundation of China (grant 11571220). In addition, the first author was supported by RFBR grant 16-01-00113a and RSCF grant 16-11-10075 and the second author was supported by the RFBR grant 15-31-20329.
| Funders | Funder number |
|---|---|
| Richmond County Savings Foundation | 16-11-10075, 15-31-20329 |
| National Natural Science Foundation of China | 11571220 |
| Russian Foundation for Basic Research | 16-01-00113a |