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Some results on matrix-eigenvectors in distributive lattices. (English) Zbl 0737.06011

Some methods are presented to solve the equation \(AX=X\) (where \(A\) is a matrix on a distributive lattice) and a system of generators for the solution set is found. Then further results related to the solution set are given.

MSC:

06D99 Distributive lattices
15A18 Eigenvalues, singular values, and eigenvectors
15A24 Matrix equations and identities
06E30 Boolean functions
90B99 Operations research and management science
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