Semiring rank versus column rank
type: Item
instance of: scholarly article
title: Semiring rank versus column rank
zbMATH Open document ID: 0642.15002
DOI: 10.1016/0024-3795(88)90141-3
author: Norman J. Pullman
author: Leroy B. Beasley
published in: Linear Algebra and its Applications
publication date: 1988-01-01T00:00:00Z
review text: For matrices over a semiring (Schein) rank, row rank, and column rank can all be different. The authors compute the largest rank, such that for all matrices of at most that rank, rank, row rank, and column rank are all equal for specified matrix sizes for many semirings including Boolean, fuzzy, \(Q^+\), \(Z^+\).
Mathematics Subject Classification ID: 15B33
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 15A03
Mathematics Subject Classification ID: 20M20
zbMATH DE Number: 4045924
zbMATH Keywords: Schein rank
zbMATH Keywords: matrix over semiring
zbMATH Keywords: row rank
zbMATH Keywords: column rank
Wikidata QID: Q105890738
reviewed by: Ki Hang Kim
MaRDI profile type: Publication
full work available at URL: 0024-3795(88)90141-3
OpenAlex ID: W2088450772
cites work: Fuzzy rank-preserving operators
cites work: Q3328594
cites work: Primes in the semigroup of Boolean matrices
cites work: Q3758977
cites work: Q3958592
cites work: On generalized inverses of Boolean matrices
cites work: On generalized inverses of boolean matrices. II
cites work: Primes in the semigroup of non-negative matrices
description: scientific article; zbMATH DE number 4045924