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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. © Mathematical Institute, Academy of Sciences of Czech Republic 2006.
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Czechoslovak Mathematical Journal
ISSN: 0011-4642
Year: 2006
Issue: 2
Volume: 56
Page: 299-316
0 . 1 9 7
JCR@2006
0 . 4 0 0
JCR@2023
JCR Journal Grade:4
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ESI Highly Cited Papers on the List: 0 Unfold All
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