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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 2, Pages 271–276 (Mi smj2320)  
On solvability of some types of matrix equations over lattices

A. V. Zhuklina

Krasnoyarsk State Agricultural University, Krasnoyarsk
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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.
Received: 24.12.2009
Revised: 07.09.2011
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 2, Pages 217–221
DOI: https://doi.org/10.1134/S0037446612020048
Bibliographic databases:
Document Type: Article
UDC: 512.643
Language: Russian
Citation: A. V. Zhuklina, “On solvability of some types of matrix equations over lattices”, Sibirsk. Mat. Zh., 53:2 (2012), 271–276; Siberian Math. J., 53:2 (2012), 217–221
Citation in format AMSBIB
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