Monotone Linear Transformations on Matrices over Semirings


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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


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