Linear preservers of extremes of rank inequalities over semirings: Term rank and zero-term rank |
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| Authors: | L. B. Beasley A. E. Guterman S.-C. Yi |
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| Affiliation: | (1) Department of Mathematics and Statistics, Utah State University, Logan, Utah 84322-4125, USA;(2) Department of Algebra, Faculty of Mathematics and Mechanics, Moscow State University, Moscow, 119992, GSP-2, Russia;(3) Department of Applied Mathematics, Changwan National University, Changwan, 641-773, Republic of Korea |
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| Abstract: | We characterize linear operators on matrices over semirings that preserve the extremal cases in the bounds on term and zero-term ranks of sums and products of matrices. __________ Translated from Fundamentalnaya i Prikladnaya Matematika (Fundamental and Applied Mathematics), Vol. 10, No. 2, pp. 3–21, 2004. |
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