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The Semigroup of Hall Matrices over Distributive Lattices

✍ Scribed by Yijia Tan

Publisher
Springer
Year
2000
Tongue
English
Weight
702 KB
Volume
61
Category
Article
ISSN
0037-1912

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Let (L, , ∨, ∧) be a complete and completely distributive lattice. A vector ξ is said to be an eigenvector of a square matrix A over the lattice L if Aξ = λξ for some λ in L. The elements λ are called the associated eigenvalues. In this paper, we obtain the maximum eigenvector of A for a given eigen

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Let (L, <~, v. A) be a complete and completely distr;butive I,ttice. A vector ~ is said to be an eigenvector of a square matrix A over the lattice L ifA~ = 2~ for some 2 E L. The elements ,;. are called the associated eigenvalues, in this paper we characterize the eigenvalues and the eigenvectors an