Prime Boolean matrices and factorizations

DOI10.1016/0024-3795(93)90221-9zbMath0780.15006OpenAlexW2022837800WikidataQ114215285 ScholiaQ114215285MaRDI QIDQ686387

Han Hyuk Cho

Publication date: 13 October 1993

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(93)90221-9

zbMATH Keywords

factorizationsBoolean rankSchein rankminimal prime Boolean matricesnearly decomposable matrices

Mathematics Subject Classification ID

Factorization of matrices (15A23) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Matrices of integers (15B36)

Related Items (7)

Unnamed Item ⋮ Prime lattice matrices ⋮ Factorizations of matrices over semirings. ⋮ Factorization properties of \((n {\times} n)\) Boolean matrices ⋮ On prime matrices over distributive lattices ⋮ The \(m\)-step competition graph of a digraph ⋮ Regular matrices in the semigroup of Hall matrices

Cites Work

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• Primes in the semigroup of Boolean matrices
• A unified treatment of nearly reducible and nearly decomposable matrices
• Regular matrices in the semigroup of Hall matrices
• Answers to questions posed by Richman and Schneider
• Primes in the semigroup of non-negative matrices
• A Simplified Form for Nearly Reducible and Nearly Decomposable Matrices
• On Constructing Nearly Decomposable Matrices

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