An Application of Linear Algebra over Lattices

Mahboobeh Hosseinyazdi


In this paper, ¯rst we consider Ln as a semimodule
over a complete bounded distributive lattice L. Then we de¯ne
the basic concepts of module theory for Ln. After that, we proved
many similar theorems in linear algebra for the space Ln. An
application of linear algebra over lattices for solving linear systems,
was given.


Lattices, semimodule, linear algebra, linear system.

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