Geodesic
Indecomposable matrices over a distributive lattice
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 299-316 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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 $n\times n$ fully indecomposable matrices as a subsemigroup of the semigroup $H_n(L)$ of all $n\times n$ Hall matrices over the lattice $L$ are given.
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 $n\times n$ fully indecomposable matrices as a subsemigroup of the semigroup $H_n(L)$ of all $n\times n$ Hall matrices over the lattice $L$ are given.
Classification : 06D05, 15A18, 15A33
Keywords: distributive lattice; indecomposable matrix; fully indecomposable matrix; semigroup; characterization 
@article{CMJ_2006_56_2_a2,
     author = {Tan, Yi-jia},
     title = {Indecomposable matrices over a distributive lattice},
     journal = {Czechoslovak Mathematical Journal},
     pages = {299--316},
     year = {2006},
     volume = {56},
     number = {2},
     mrnumber = {2291738},
     zbl = {1164.15326},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2006_56_2_a2/}
}
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Tan, Yi-jia. Indecomposable matrices over a distributive lattice. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 299-316. http://geodesic.mathdoc.fr/item/CMJ_2006_56_2_a2/