On ranks, Green classes, and the theory of determinants of Boolean matrices

DOI10.1515/DMA.2008.049zbMath1184.15020MaRDI QIDQ3184578

V. B. Poplavski

Publication date: 21 October 2009

Published in: Discrete Mathematics and Applications (Search for Journal in Brave)

zbMATH Keywords

matrix productBoolean algebragroupoidfactorisationpermanentBoolean matrixBoolean determinantminor rank

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Algebraic systems of matrices (15A30) Structure theory of Boolean algebras (06E05) Vector spaces, linear dependence, rank, lineability (15A03) Boolean and Hadamard matrices (15B34)

Related Items (3)

New necessary and sufficient condition and algorithm for directed hamiltonian graph based on boolean determinant theory ⋮ On applications of associativity of dual compositions in the algebra of Boolean matrices ⋮ On the potential divisibility of matrices over distributive lattices

Cites Work

• Inversion of matrices over a commutative semiring
• Determinantal identities over commutative semirings
• RANK INEQUALITIES OVER SEMIRINGS

This page was built for publication: On ranks, Green classes, and the theory of determinants of Boolean matrices