On Decompositions of Matrices over Distributive Lattices

On Decompositions of Matrices over Distributive Lattices

Let L be a distributive lattice and Mn,q (L)(Mn(L), resp.) the semigroup (semiring, resp.) of n × q (n × n, resp.) matrices over L. In this paper, we show that if there is a subdirect embedding from distributive lattice L to the direct product ∏i=1m‍Li of distributive lattices L1,L2, …,Lm, then ther...

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Bibliographic Details
Main Authors: Yizhi Chen, Xianzhong Zhao
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/202075
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