An Application of Linear Algebra over Lattices

Authors

  • Mahboobeh Hosseinyazdi

DOI:

https://doi.org/10.30495/jme.v0i0.40

Keywords:

Lattices, semimodule, linear algebra, linear system.

Abstract

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.

Author Biography

Mahboobeh Hosseinyazdi

Department of Mathematics Payame Noor University(PNU) Shiraz, Iran

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Published

2008-03-01

Issue

Vol 3 (2008-2009)

Section

Vol. 3, No. 1 (2008)

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