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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2005; 42(2): 223-241

Printed March 1, 2005

Copyright © The Korean Mathematical Society.

Rank inequalities over semirings

LeRoy B. Beasley and Alexander E. Guterman

Utah State University, Moscow State University

Abstract

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Inequalities on the rank of the sum and the product of two matrices over semirings are surveyed. Preferences are given to the factor rank, row and column ranks, term rank, and zero-term rank of matrices over antinegative semirings.

Keywords: rank functions, semirings, inequalities

MSC numbers: 15A

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