Linear preservers of extremes of rank inequalities over semirings: Term rank and zero-term rank

L. B. Beasley; A. E. Guterman; S. C. Yi

doi:10.1007/s10958-006-0294-4

Linear preservers of extremes of rank inequalities over semirings: Term rank and zero-term rank

L. B. Beasley
, A. E. Guterman
, S. C. Yi

Utah State University
Lomonosov Moscow State University
Changwon National University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Pages (from-to)	5179-5191
Number of pages	13
Journal	Journal of Mathematical Sciences (United States)
Volume	137
Issue number	6
DOIs	https://doi.org/10.1007/s10958-006-0294-4
State	Published - Sep 2006
Externally published	Yes

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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.",

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Linear preservers of extremes of rank inequalities over semirings: Term rank and zero-term rank

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