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Indecomposable matrices over a distributive lattice

Author:
Tan, Yi-Jia  


Journal:
CZECHOSLOVAK MATHEMATICAL JOURNAL


Issue Date:
2006


Abstract(summary):

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 x n fully indecomposable matrices as a subsemigroup of the semigroup H-n(L) of all n x n Hall matrices over the lattice L are given.


Page:
299---316


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