Algebraic Systems and Soft Computing

Solvability of some types of matrix equations over lattices

A. V. Zhuklina

Krasnoyarsk State Pedagogical University named after V. P. Astaf'ev

Abstract: We obtain criteria of solvability of matrix equations $AX=B$ over a lattice in case matrices $A$, $B$ are possessed of some special properties. The formulas for calculation of the greatest and least solutions are obtained.

Keywords: matrices over lattices, lattices.

UDC: 512.643

Received: 02.06.2010
Revised: 21.12.2011

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