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Journal of Siberian Federal University. Mathematics & Physics, 2011, Volume 4, Issue 4, Pages 458–469 (Mi jsfu204)  
Quasiortogonal by columns matrices over distributive lattices

Anna V. Zhuklina

Krasnoyarsk State Agricultural University, Krasnoyarsk, Russia
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Abstract: In this paper, quasiortogonal by columns matrices over distributive lattices are studied. We obtain criteria of solvability of matrix equations in case the equations include such matrices. Criteria of such idempotent matrices are proved. Factorization properties of quasiortogonal by columns $(\tilde0,\tilde1)$-matrices are studied.
Keywords: matrices over lattices, boolean matrices, elementary matrices, idempotent matrices.
Received: 29.01.2011
Received in revised form: 04.04.2011
Accepted: 04.06.2011
Document Type: Article
UDC: 512.64
Language: Russian
Citation: Anna V. Zhuklina, “Quasiortogonal by columns matrices over distributive lattices”, J. Sib. Fed. Univ. Math. Phys., 4:4 (2011), 458–469
Citation in format AMSBIB
\Bibitem{Zhu11}
\by Anna~V.~Zhuklina
\paper Quasiortogonal by columns matrices over distributive lattices
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2011
\vol 4
\issue 4
\pages 458--469
\mathnet{http://mi.mathnet.ru/jsfu204}
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