A. E. Guterman, E. M. Kreines, Qing-Wen Wang, “Monotone linear transformations on matrices over semirings”, Fundam. Prikl. Mat., 2016, Volume 21, Issue 1,Pages <nobr>105

JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 2016 Volume 21, Issue 1, Pages 105–122 (Mi fpm1706)

Monotone linear transformations on matrices over semirings

A. E. Guterman^a, E. M. Kreines^a, Qing-Wen Wang^b

^a Lomonosov Moscow State University
^b Shanghai University

Abstract: We characterize linear transformations on matrices over commutative antinegative semirings that are monotone with respect to minus, star, and sharp partial orders.

UDC: 512.643

Fulltext: PDF file (191 kB)
References

English version: Journal of Mathematical Sciences (New York), 2018, 233:5, 675–686

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