Monotone Linear Transformations on Matrices over Semirings
- Authors: Guterman A.E.1, Kreines E.M.1, Wang Q.2
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Affiliations:
- Moscow State University
- Shanghai University
- Issue: Vol 233, No 5 (2018)
- Pages: 675-686
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241629
- DOI: https://doi.org/10.1007/s10958-018-3955-1
- ID: 241629
Cite item
Abstract
We characterize linear transformations on matrices over commutative antinegative semirings that are monotone with respect to minus, star, and sharp partial orders.
About the authors
A. E. Guterman
Moscow State University
Author for correspondence.
Email: alexander.guterman@gmail.com
Russian Federation, Moscow
E. M. Kreines
Moscow State University
Email: alexander.guterman@gmail.com
Russian Federation, Moscow
Qing-Wen Wang
Shanghai University
Email: alexander.guterman@gmail.com
China, Shanghai