On solvability of some types of matrix equations over lattices

A. V. Zhuklina

Krasnoyarsk State Agricultural University, Krasnoyarsk

Abstract: We present a formula for calculating the greatest solution to matrix equations over Boolean lattices and establish the smallest (greatest) solution to a matrix equation over a distributive lattice whose matrix enjoys certain properties.

Keywords: matrix over a lattice, matrix equation over a lattice, lattice.

UDC: 512.643

Received: 24.12.2009
Revised: 07.09.2011

 English version: Siberian Mathematical Journal, 2012, 53:2, 217–221

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