@article{bcb35b2899b1449fb0fe3865aaf6c133,
title = "Monotone Linear Transformations on Matrices over Semirings",
abstract = "We characterize linear transformations on matrices over commutative antinegative semirings that are monotone with respect to minus, star, and sharp partial orders.",
author = "Guterman, {A. E.} and Kreines, {E. M.} and Wang, {Qing Wen}",
note = "Funding Information: 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. Publisher Copyright: {\textcopyright} 2018, Springer Science+Business Media, LLC, part of Springer Nature.",
year = "2018",
month = sep,
day = "1",
doi = "10.1007/s10958-018-3955-1",
language = "English",
volume = "233",
pages = "675--686",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Science and Business Media Deutschland GmbH",
number = "5",
}