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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2010; 47(1): 71-81

Printed January 1, 2010

https://doi.org/10.4134/JKMS.2010.47.1.71

Copyright © The Korean Mathematical Society.

Extreme preservers of maximal column rank inequalities of matrix multiplications over semirings

Seok-Zun Song, Kwon-Ryong Park, and L. Hernandez Encinas

Jeju National University, Jeju National University, and Applied Physics Institute, CSIC

Abstract

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We characterize linear operators that preserve sets of matrix ordered pairs which satisfy extreme cases with respect to maximal column rank inequalities of matrix multiplications over semirings.

Keywords: linear operator, rank inequality, maximal column rank

MSC numbers: Primary 15A03, 15A04, 15A45

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