Indecomposable matrices over a distributive lattice |
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| Authors: | Yi-jia Tan |
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| Institution: | (1) Department of Mathematics, Fuzhou University, Fuzhou, 350002, P.R. China |
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| Abstract: | In this paper, the concepts of indecomposable matrices and fully indecomposable matrices over a distributive lattice L are introduced, and some algebraic properties of them are obtained. Also, some characterizations of the set F
n
(L) of all n × n fully indecomposable matrices as a subsemigroup of the semigroup H
n
(L) of all n × n Hall matrices over the lattice L are given. |
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| Keywords: | distributive lattice indecomposable matrix fully indecomposable matrix semigroup characterization |
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